57266800 has 60 divisors (see below), whose sum is σ = 139898536. Its totient is φ = 22521600.

The previous prime is 57266789. The next prime is 57266801. The reversal of 57266800 is 866275.

57266800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57266801) by changing a digit.

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, 23227 + ... + 25573.

Almost surely, 2^57266800 is an apocalyptic number.

57266800 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 57266800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69949268).

57266800 is an abundant number, since it is smaller than the sum of its proper divisors (82631736).

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

57266800 is a wasteful number, since it uses less digits than its factorization.

57266800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426 (or 2415 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 57266800 is about 7567.4830690263. The cubic root of 57266800 is about 385.4496349041.

The spelling of 57266800 in words is "fifty-seven million, two hundred sixty-six thousand, eight hundred".