57940600 has 48 divisors (see below), whose sum is σ = 135448920. Its totient is φ = 23049600.

The previous prime is 57940591. The next prime is 57940627. The reversal of 57940600 is 604975.

57940600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×57940600² = 6714226256720000, which contains 22 as substring.

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, 41514 + ... + 42886.

Almost surely, 2^57940600 is an apocalyptic number.

57940600 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 57940600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67724460).

57940600 is an abundant number, since it is smaller than the sum of its proper divisors (77508320).

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

57940600 is a wasteful number, since it uses less digits than its factorization.

57940600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 57940600 is about 7611.8723058128. The cubic root of 57940600 is about 386.9554752062.

The spelling of 57940600 in words is "fifty-seven million, nine hundred forty thousand, six hundred".