57957200 has 90 divisors (see below), whose sum is σ = 162030366. Its totient is φ = 19864320.

The previous prime is 57957187. The next prime is 57957227. The reversal of 57957200 is 275975.

57957200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 379456 + 57577744 = 616^2 + 7588^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

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 17 ways as a sum of consecutive naturals, for example, 18122 + ... + 21078.

Almost surely, 2^57957200 is an apocalyptic number.

57957200 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 57957200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81015183).

57957200 is an abundant number, since it is smaller than the sum of its proper divisors (104073166).

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

57957200 is a wasteful number, since it uses less digits than its factorization.

57957200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2989 (or 2971 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 35.

The square root of 57957200 is about 7612.9626296206. The cubic root of 57957200 is about 386.9924259658.

The spelling of 57957200 in words is "fifty-seven million, nine hundred fifty-seven thousand, two hundred".