56892960 has 72 divisors (see below), whose sum is σ = 194152140. Its totient is φ = 15171072.

The previous prime is 56892947. The next prime is 56892971. The reversal of 56892960 is 6929865.

56892960 is a `hidden beast` number, since 568 + 9 + 29 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 54110736 + 2782224 = 7356^2 + 1668^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18315 + ... + 21194.

Almost surely, 2^56892960 is an apocalyptic number.

It is an amenable number.

56892960 is an abundant number, since it is smaller than the sum of its proper divisors (137259180).

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

56892960 is a wasteful number, since it uses less digits than its factorization.

56892960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39530 (or 39519 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 56892960 is about 7542.7422069165. The cubic root of 56892960 is about 384.6090595062.

It can be divided in two parts, 5689 and 2960, that added together give a square (8649 = 93²).

The spelling of 56892960 in words is "fifty-six million, eight hundred ninety-two thousand, nine hundred sixty".