57712400 has 60 divisors (see below), whose sum is σ = 139491072. Its totient is φ = 22945920.

The previous prime is 57712387. The next prime is 57712427. The reversal of 57712400 is 421775.

It is a super-2 number, since 2×57712400² = 6661442227520000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 57712400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88877 + ... + 89523.

Almost surely, 2^57712400 is an apocalyptic number.

57712400 is a gapful number since it is divisible by the number (50) 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 57712400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69745536).

57712400 is an abundant number, since it is smaller than the sum of its proper divisors (81778672).

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

57712400 is a wasteful number, since it uses less digits than its factorization.

57712400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 26.

The square root of 57712400 is about 7596.8677756033. The cubic root of 57712400 is about 386.4467966533.

The spelling of 57712400 in words is "fifty-seven million, seven hundred twelve thousand, four hundred".