57897600 has 192 divisors, whose sum is σ = 197055840. Its totient is φ = 14929920.

The previous prime is 57897577. The next prime is 57897607. The reversal of 57897600 is 679875.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57897607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 355119 + ... + 355281.

Almost surely, 2^57897600 is an apocalyptic number.

57897600 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 57897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98527920).

57897600 is an abundant number, since it is smaller than the sum of its proper divisors (139158240).

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

57897600 is a wasteful number, since it uses less digits than its factorization.

57897600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 57897600 is about 7609.0472465349. The cubic root of 57897600 is about 386.8597265526.

The spelling of 57897600 in words is "fifty-seven million, eight hundred ninety-seven thousand, six hundred".