59520960 has 168 divisors, whose sum is σ = 212537040. Its totient is φ = 15681024.

The previous prime is 59520959. The next prime is 59520973. The reversal of 59520960 is 6902595.

59520960 is a `hidden beast` number, since 595 + 2 + 0 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 717079 + ... + 717161.

Almost surely, 2^59520960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106268520).

59520960 is an abundant number, since it is smaller than the sum of its proper divisors (153016080).

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

59520960 is an equidigital number, since it uses as much as digits as its factorization.

59520960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 59520960 is about 7714.9828256452. The cubic root of 59520960 is about 390.4421021959.

The spelling of 59520960 in words is "fifty-nine million, five hundred twenty thousand, nine hundred sixty".