57638400 has 240 divisors, whose sum is σ = 202963200. Its totient is φ = 14376960.

The previous prime is 57638387. The next prime is 57638429. The reversal of 57638400 is 483675.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 729561 + ... + 729639.

It is an arithmetic number, because the mean of its divisors is an integer number (845680).

Almost surely, 2^57638400 is an apocalyptic number.

57638400 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 57638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101481600).

57638400 is an abundant number, since it is smaller than the sum of its proper divisors (145324800).

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

57638400 is a wasteful number, since it uses less digits than its factorization.

57638400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 57638400 is about 7591.9957850357. The cubic root of 57638400 is about 386.2815560565.

The spelling of 57638400 in words is "fifty-seven million, six hundred thirty-eight thousand, four hundred".