57568 has 24 divisors (see below), whose sum is σ = 130032. Its totient is φ = 24576.

The previous prime is 57559. The next prime is 57571. The reversal of 57568 is 86575.

57568 is nontrivially palindromic in base 5.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

57568 is an undulating number in base 16.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

57568 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 96 + ... + 352.

It is an arithmetic number, because the mean of its divisors is an integer number (5418).

2⁵⁷⁵⁶⁸ 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 57568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65016).

57568 is an abundant number, since it is smaller than the sum of its proper divisors (72464).

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

57568 is a wasteful number, since it uses less digits than its factorization.

57568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 266 counting only the distinct ones).

The product of its digits is 8400, while the sum is 31.

The square root of 57568 is about 239.9333240715. The cubic root of 57568 is about 38.6124222862.

It can be divided in two parts, 57 and 568, that added together give a 4-th power (625 = 5⁴).

The spelling of 57568 in words is "fifty-seven thousand, five hundred sixty-eight".