57106960 has 40 divisors (see below), whose sum is σ = 137062656. Its totient is φ = 22104960.

The previous prime is 57106949. The next prime is 57106969. The reversal of 57106960 is 6960175.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×57106960² = 6522409760883200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (57106969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9034 + ... + 13993.

Almost surely, 2^57106960 is an apocalyptic number.

It is an amenable number.

57106960 is an abundant number, since it is smaller than the sum of its proper divisors (79955696).

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

57106960 is a wasteful number, since it uses less digits than its factorization.

57106960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23071 (or 23065 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 34.

The square root of 57106960 is about 7556.9147143527. The cubic root of 57106960 is about 385.0906853336.

The spelling of 57106960 in words is "fifty-seven million, one hundred six thousand, nine hundred sixty".