57057312 has 96 divisors (see below), whose sum is σ = 162993600. Its totient is φ = 17372160.

The previous prime is 57057283. The next prime is 57057317. The reversal of 57057312 is 21375075.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 57057312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57057317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163314 + ... + 163662.

It is an arithmetic number, because the mean of its divisors is an integer number (1697850).

Almost surely, 2^57057312 is an apocalyptic number.

57057312 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57057312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81496800).

57057312 is an abundant number, since it is smaller than the sum of its proper divisors (105936288).

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

57057312 is a wasteful number, since it uses less digits than its factorization.

57057312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 7350, while the sum is 30.

The square root of 57057312 is about 7553.6290615836. The cubic root of 57057312 is about 384.9790554750.

The spelling of 57057312 in words is "fifty-seven million, fifty-seven thousand, three hundred twelve".