57416560 has 40 divisors (see below), whose sum is σ = 134027136. Its totient is φ = 22874880.

The previous prime is 57416551. The next prime is 57416561. The reversal of 57416560 is 6561475.

It is a happy number.

57416560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×57416560² = 6593322724467200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57416561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20865 + ... + 23455.

Almost surely, 2^57416560 is an apocalyptic number.

It is an amenable number.

57416560 is an abundant number, since it is smaller than the sum of its proper divisors (76610576).

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

57416560 is a wasteful number, since it uses less digits than its factorization.

57416560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2881 (or 2875 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 57416560 is about 7577.3715759490. The cubic root of 57416560 is about 385.7853424515.

The spelling of 57416560 in words is "fifty-seven million, four hundred sixteen thousand, five hundred sixty".