57468544 has 64 divisors (see below), whose sum is σ = 135129600. Its totient is φ = 23823360.

The previous prime is 57468497. The next prime is 57468557. The reversal of 57468544 is 44586475.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 57468544.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26742 + ... + 28810.

It is an arithmetic number, because the mean of its divisors is an integer number (2111400).

Almost surely, 2^57468544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57468544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67564800).

57468544 is an abundant number, since it is smaller than the sum of its proper divisors (77661056).

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

57468544 is a wasteful number, since it uses less digits than its factorization.

57468544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2121 (or 2109 counting only the distinct ones).

The product of its digits is 537600, while the sum is 43.

The square root of 57468544 is about 7580.8010130856. The cubic root of 57468544 is about 385.9017352129.

The spelling of 57468544 in words is "fifty-seven million, four hundred sixty-eight thousand, five hundred forty-four".