57074320 has 80 divisors (see below), whose sum is σ = 139566960. Its totient is φ = 21676032.

The previous prime is 57074279. The next prime is 57074323. The reversal of 57074320 is 2347075.

It can be written as a sum of positive squares in 8 ways, for example, as 1183744 + 55890576 = 1088^2 + 7476^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (57074323) 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, 169192 + ... + 169528.

It is an arithmetic number, because the mean of its divisors is an integer number (1744587).

Almost surely, 2^57074320 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 57074320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69783480).

57074320 is an abundant number, since it is smaller than the sum of its proper divisors (82492640).

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

57074320 is a wasteful number, since it uses less digits than its factorization.

57074320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 28.

The square root of 57074320 is about 7554.7547941677. The cubic root of 57074320 is about 385.0173039954.

The spelling of 57074320 in words is "fifty-seven million, seventy-four thousand, three hundred twenty".