This is more to that! 60 is https://en.wikipedia.org/wiki/Superior_highly_composite_numb... which means that lot of fractional numbers can be represnted in nice way. And because one year is around 360 days and 12 (another superior highly composite number) is roughly correspond to number of lunar months in the year, people used those to based their calendar and angular measurments around that. And 60 is very close to 64, so it could be nicely represented in binary... (10 is kinda akward, too big for 8 and too small for 16)

3 knuckles on each digit. 5 digits per appendage, 4 appendages.

3 * 5 * 4 = 60

Actually quite intuitive and impressive.