57600816 has 80 divisors (see below), whose sum is σ = 183154944. Its totient is φ = 15190272.

The previous prime is 57600791. The next prime is 57600817. The reversal of 57600816 is 61800675.

It is a super-3 number, since 3×57600816³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (57600817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2226 + ... + 10961.

Almost surely, 2^57600816 is an apocalyptic number.

57600816 is a gapful number since it is divisible by the number (56) 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 57600816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91577472).

57600816 is an abundant number, since it is smaller than the sum of its proper divisors (125554128).

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

57600816 is a wasteful number, since it uses less digits than its factorization.

57600816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13218 (or 13212 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 57600816 is about 7589.5201429339. The cubic root of 57600816 is about 386.1975775358.

The spelling of 57600816 in words is "fifty-seven million, six hundred thousand, eight hundred sixteen".