57359568 has 80 divisors (see below), whose sum is σ = 172596096. Its totient is φ = 16074240.

The previous prime is 57359543. The next prime is 57359569. The reversal of 57359568 is 86595375.

It is a super-2 number, since 2×57359568² = 6580240082293248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57359569) 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, 16198 + ... + 19418.

Almost surely, 2^57359568 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 57359568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86298048).

57359568 is an abundant number, since it is smaller than the sum of its proper divisors (115236528).

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

57359568 is a wasteful number, since it uses less digits than its factorization.

57359568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3292 (or 3286 counting only the distinct ones).

The product of its digits is 1134000, while the sum is 48.

The square root of 57359568 is about 7573.6099714733. The cubic root of 57359568 is about 385.6576559621.

The spelling of 57359568 in words is "fifty-seven million, three hundred fifty-nine thousand, five hundred sixty-eight".