I'm saying that the base 60 Babylonian system is derived from how many fingers people have on each hand and how many segments per finger, not because it's a fantastic base because it's got lots of whole divisors.
If people were Disney cartoon characters (3 fingers + thumb) they'd likely have used base 36 (9 segments, 4 total digits on other hand).
And yes -- by having a mixed system like this you'll end up with more divisors than if you only count digits.
Yes, I agree. I'm saying it's not a coincidence that 60 has many divisors, but rather an artifact of the way it was derived. I don't think we disagree.
So in some ways it's not entirely coincidental.
In fact, 12 is derived the same way, 4 fingers times 3 knuckles, so the only coincidence is that 4 is divisible by 2.