57438080 has 64 divisors (see below), whose sum is σ = 156941280. Its totient is φ = 19691520.

The previous prime is 57438049. The next prime is 57438091. The reversal of 57438080 is 8083475.

57438080 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 (64).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 57438080.

It is a congruent number.

It is an unprimeable number.

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, 1931 + ... + 10890.

Almost surely, 2^57438080 is an apocalyptic number.

It is an amenable number.

57438080 is an abundant number, since it is smaller than the sum of its proper divisors (99503200).

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

57438080 is a wasteful number, since it uses less digits than its factorization.

57438080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12847 (or 12835 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 57438080 is about 7578.7914603847. The cubic root of 57438080 is about 385.8335344921.

The spelling of 57438080 in words is "fifty-seven million, four hundred thirty-eight thousand, eighty".