57126900 has 72 divisors (see below), whose sum is σ = 166899040. Its totient is φ = 15085440.

The previous prime is 57126877. The next prime is 57126907. The reversal of 57126900 is 962175.

It is a super-2 number, since 2×57126900² = 6526965407220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57126907) 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, 31827 + ... + 33573.

Almost surely, 2^57126900 is an apocalyptic number.

57126900 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 57126900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83449520).

57126900 is an abundant number, since it is smaller than the sum of its proper divisors (109772140).

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

57126900 is a wasteful number, since it uses less digits than its factorization.

57126900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1873 (or 1866 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 57126900 is about 7558.2339206987. The cubic root of 57126900 is about 385.1355007392.

The spelling of 57126900 in words is "fifty-seven million, one hundred twenty-six thousand, nine hundred".