57097600 has 96 divisors (see below), whose sum is σ = 161262000. Its totient is φ = 19568640.

The previous prime is 57097597. The next prime is 57097619. The reversal of 57097600 is 679075.

57097600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21126 + ... + 23674.

Almost surely, 2^57097600 is an apocalyptic number.

57097600 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 57097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80631000).

57097600 is an abundant number, since it is smaller than the sum of its proper divisors (104164400).

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

57097600 is a wasteful number, since it uses less digits than its factorization.

57097600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2580 (or 2563 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 34.

The square root of 57097600 is about 7556.2953886147. The cubic root of 57097600 is about 385.0696450158.

The spelling of 57097600 in words is "fifty-seven million, ninety-seven thousand, six hundred".