Some of the most advanced AI created by humankind is able to drive an automated motor vehicle according to human commands coming from a different planet at the amazing speed of almost 90 meters per hour, all without causing the 6-wheeled vehicle to topple or crash into larger obstacles. That's more than twice the maximum cruise speed of Helix aspersa.
The same AI is further able to abstain from moving for nearly one month without human intervention in case of a connection loss, keeping the vehicle reliably in one place (and in one piece).
So yeah, AI is impressive, but some humans will argue that they can do comparably. It may still take a few weeks before AI considerably outperforms the human.
By the way, 1,000,000! only has about 5.5 million digits. I am sure it's not that hard to compute, but I don't know what point you were trying to make: Do you know of any human that can compute it?
That's actually a good example for showing intelligence, though. A computer will certainly beat a human (or at least most humans) at computing numbers or at playing chess (which, too, is only computing numbers and maximizing a utility function).
A truly intelligent computer playing chess would offer a tough challenge, but would let the human win (and it would figure this out on its own!) because humans who keep losing against a computer program are likely to delete the program or smash the computer to pieces.
On the other hand, being told to compute 1,000,000!, a computer (assuming the human who built the program thought of including an arbitrary precision library!) would likely start working, and eventually, after a long time, find a solution or abort with an error.
A human would tell you right away: Wait, what? Fuck you, this is totally pointless! It's a really big number, OK? Do it yourself if you really want to know the exact value.
It's the difference between what you can do and what you will do because you immediately realize that it doesn't make any sense (or the insight that any 10k-digit number or any 1-million-digit number is exactly identical to any 5-million-digit number for all practical purposes).
What you will do or won't do doesn't even necessarily have to be logical at first sight (or at second sight, or at all) to be "intelligent".