57578320 has 40 divisors (see below), whose sum is σ = 141747624. Its totient is φ = 21676032.

The previous prime is 57578317. The next prime is 57578321. The reversal of 57578320 is 2387575.

57578320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 20903184 + 36675136 = 4572^2 + 6056^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 57578320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57578321) 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, 19809 + ... + 22528.

Almost surely, 2^57578320 is an apocalyptic number.

It is an amenable number.

57578320 is an abundant number, since it is smaller than the sum of its proper divisors (84169304).

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

57578320 is a wasteful number, since it uses less digits than its factorization.

57578320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42367 (or 42361 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 37.

The square root of 57578320 is about 7588.0379545703. The cubic root of 57578320 is about 386.1472944983.

The spelling of 57578320 in words is "fifty-seven million, five hundred seventy-eight thousand, three hundred twenty".