56332960 has 24 divisors (see below), whose sum is σ = 133086996. Its totient is φ = 22533120.

The previous prime is 56332943. The next prime is 56332961. The reversal of 56332960 is 6923365.

It can be written as a sum of positive squares in 2 ways, for example, as 55175184 + 1157776 = 7428^2 + 1076^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (56332961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 175881 + ... + 176200.

Almost surely, 2^56332960 is an apocalyptic number.

It is an amenable number.

56332960 is an abundant number, since it is smaller than the sum of its proper divisors (76754036).

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

56332960 is a wasteful number, since it uses less digits than its factorization.

56332960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352096 (or 352088 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 34.

The square root of 56332960 is about 7505.5286289508. The cubic root of 56332960 is about 383.3429882046.

The spelling of 56332960 in words is "fifty-six million, three hundred thirty-two thousand, nine hundred sixty".