57162960 has 60 divisors (see below), whose sum is σ = 191974692. Its totient is φ = 15243264.

The previous prime is 57162929. The next prime is 57162997. The reversal of 57162960 is 6926175.

57162960 is a `hidden beast` number, since 571 + 6 + 29 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29030544 + 28132416 = 5388^2 + 5304^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 11 ways as a sum of consecutive naturals, for example, 38977 + ... + 40416.

Almost surely, 2^57162960 is an apocalyptic number.

It is an amenable number.

57162960 is an abundant number, since it is smaller than the sum of its proper divisors (134811732).

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

57162960 is a wasteful number, since it uses less digits than its factorization.

57162960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79412 (or 79403 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 57162960 is about 7560.6190222759. The cubic root of 57162960 is about 385.2165195763.

The spelling of 57162960 in words is "fifty-seven million, one hundred sixty-two thousand, nine hundred sixty".