Not sure if this is the reason , but: 24 and 60 are both multiples of 12. This gives you the same benefit dozenal counting systems have - it's easy to divide st

Not sure if this is the reason , but: 24 and 60 are both multiples of 12. This gives you the same benefit dozenal counting systems have - it's easy to divide stuff into 2,3,4,6 parts, the factors of 12. With 60 you get 2,3,4,5,6,10,12. Whole lotta neat factors that come in handy in everyday life :)