57945600 has 180 divisors, whose sum is σ = 207783576. Its totient is φ = 15421440.

The previous prime is 57945593. The next prime is 57945617. The reversal of 57945600 is 654975.

57945600 is a `hidden beast` number, since 5 + 7 + 9 + 45 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 114949 + ... + 115451.

Almost surely, 2^57945600 is an apocalyptic number.

57945600 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 57945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103891788).

57945600 is an abundant number, since it is smaller than the sum of its proper divisors (149837976).

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

57945600 is a wasteful number, since it uses less digits than its factorization.

57945600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 57945600 is about 7612.2007330338. The cubic root of 57945600 is about 386.9666056957.

The spelling of 57945600 in words is "fifty-seven million, nine hundred forty-five thousand, six hundred".