57210368 has 40 divisors (see below), whose sum is σ = 120345720. Its totient is φ = 27095040.

The previous prime is 57210343. The next prime is 57210379. The reversal of 57210368 is 86301275.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6788 + ... + 12668.

It is an arithmetic number, because the mean of its divisors is an integer number (3008643).

Almost surely, 2^57210368 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 57210368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60172860).

57210368 is an abundant number, since it is smaller than the sum of its proper divisors (63135352).

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

57210368 is an equidigital number, since it uses as much as digits as its factorization.

57210368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5918 (or 5902 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 57210368 is about 7563.7535655255. The cubic root of 57210368 is about 385.3229830302.

The spelling of 57210368 in words is "fifty-seven million, two hundred ten thousand, three hundred sixty-eight".