57993900 has 72 divisors (see below), whose sum is σ = 169989120. Its totient is φ = 15263040.

The previous prime is 57993899. The next prime is 57993907. The reversal of 57993900 is 939975.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (57993907) 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, 22477 + ... + 24923.

It is an arithmetic number, because the mean of its divisors is an integer number (2360960).

Almost surely, 2^57993900 is an apocalyptic number.

57993900 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 57993900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84994560).

57993900 is an abundant number, since it is smaller than the sum of its proper divisors (111995220).

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

57993900 is a wasteful number, since it uses less digits than its factorization.

57993900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2543 (or 2536 counting only the distinct ones).

The product of its (nonzero) digits is 76545, while the sum is 42.

The square root of 57993900 is about 7615.3726107131. The cubic root of 57993900 is about 387.0740932724.

The spelling of 57993900 in words is "fifty-seven million, nine hundred ninety-three thousand, nine hundred".