60516960 has 288 divisors, whose sum is σ = 231662592. Its totient is φ = 13224960.

The previous prime is 60516931. The next prime is 60516961. The reversal of 60516960 is 6961506.

60516960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60516961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 729079 + ... + 729161.

It is an arithmetic number, because the mean of its divisors is an integer number (804384).

Almost surely, 2^60516960 is an apocalyptic number.

60516960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60516960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115831296).

60516960 is an abundant number, since it is smaller than the sum of its proper divisors (171145632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

60516960 is a wasteful number, since it uses less digits than its factorization.

60516960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 60516960 is about 7779.2647467482. The cubic root of 60516960 is about 392.6079003388.

The spelling of 60516960 in words is "sixty million, five hundred sixteen thousand, nine hundred sixty".