57156960 has 96 divisors (see below), whose sum is σ = 205777152. Its totient is φ = 13063680.

The previous prime is 57156929. The next prime is 57156961. The reversal of 57156960 is 6965175.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57156961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5146 + ... + 11865.

It is an arithmetic number, because the mean of its divisors is an integer number (2143512).

Almost surely, 2^57156960 is an apocalyptic number.

It is an amenable number.

57156960 is an abundant number, since it is smaller than the sum of its proper divisors (148620192).

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

57156960 is a wasteful number, since it uses less digits than its factorization.

57156960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17036 (or 17028 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 39.

The square root of 57156960 is about 7560.2222189563. Note that the first 4 decimals coincide. The cubic root of 57156960 is about 385.2030412681.

The spelling of 57156960 in words is "fifty-seven million, one hundred fifty-six thousand, nine hundred sixty".