57940560 has 60 divisors (see below), whose sum is σ = 194586132. Its totient is φ = 15450624.

The previous prime is 57940543. The next prime is 57940567. The reversal of 57940560 is 6504975.

57940560 is a `hidden beast` number, since 5 + 7 + 94 + 0 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28259856 + 29680704 = 5316^2 + 5448^2 .

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

It is a super-2 number, since 2×57940560² = 6714216986227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57940567) 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 11 ways as a sum of consecutive naturals, for example, 39517 + ... + 40956.

Almost surely, 2^57940560 is an apocalyptic number.

It is an amenable number.

57940560 is an abundant number, since it is smaller than the sum of its proper divisors (136645572).

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

57940560 is a wasteful number, since it uses less digits than its factorization.

57940560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80492 (or 80483 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 57940560 is about 7611.8696783379. The cubic root of 57940560 is about 386.9553861597.

The spelling of 57940560 in words is "fifty-seven million, nine hundred forty thousand, five hundred sixty".