568800 has 108 divisors (see below), whose sum is σ = 2031120. Its totient is φ = 149760.

The previous prime is 568787. The next prime is 568807. The reversal of 568800 is 8865.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (568807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7161 + ... + 7239.

2⁵⁶⁸⁸⁰⁰ is an apocalyptic number.

568800 is a gapful number since it is divisible by the number (50) 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 568800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015560).

568800 is an abundant number, since it is smaller than the sum of its proper divisors (1462320).

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

568800 is a wasteful number, since it uses less digits than its factorization.

568800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 568800 is about 754.1883053986. The cubic root of 568800 is about 82.8552176666.

The spelling of 568800 in words is "five hundred sixty-eight thousand, eight hundred".