57393216 has 84 divisors (see below), whose sum is σ = 169016172. Its totient is φ = 18607104.

The previous prime is 57393209. The next prime is 57393227. The reversal of 57393216 is 61239375.

57393216 is a `hidden beast` number, since 57 + 393 + 216 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38937600 + 18455616 = 6240^2 + 4296^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19966 + ... + 22658.

Almost surely, 2^57393216 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 57393216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84508086).

57393216 is an abundant number, since it is smaller than the sum of its proper divisors (111622956).

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

57393216 is a wasteful number, since it uses less digits than its factorization.

57393216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2748 (or 2735 counting only the distinct ones).

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

The square root of 57393216 is about 7575.8310435226. The cubic root of 57393216 is about 385.7330521146.

The spelling of 57393216 in words is "fifty-seven million, three hundred ninety-three thousand, two hundred sixteen".