57600396 has 120 divisors (see below), whose sum is σ = 174414240. Its totient is φ = 16236288.

The previous prime is 57600359. The next prime is 57600463. The reversal of 57600396 is 69300675.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 57600396.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 247096 + ... + 247328.

It is an arithmetic number, because the mean of its divisors is an integer number (1453452).

Almost surely, 2^57600396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57600396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87207120).

57600396 is an abundant number, since it is smaller than the sum of its proper divisors (116813844).

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

57600396 is a wasteful number, since it uses less digits than its factorization.

57600396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 57600396 is about 7589.4924731500. The cubic root of 57600396 is about 386.1966388722.

The spelling of 57600396 in words is "fifty-seven million, six hundred thousand, three hundred ninety-six".