57088400 has 90 divisors (see below), whose sum is σ = 142921842. Its totient is φ = 21900800.

The previous prime is 57088399. The next prime is 57088403. The reversal of 57088400 is 488075.

It can be written as a sum of positive squares in 3 ways, for example, as 55696 + 57032704 = 236^2 + 7552^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57088403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 967571 + ... + 967629.

Almost surely, 2^57088400 is an apocalyptic number.

57088400 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 57088400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71460921).

57088400 is an abundant number, since it is smaller than the sum of its proper divisors (85833442).

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

57088400 is a wasteful number, since it uses less digits than its factorization.

57088400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 57088400 is about 7555.6866001708. The cubic root of 57088400 is about 385.0489621207.

The spelling of 57088400 in words is "fifty-seven million, eighty-eight thousand, four hundred".