568400 has 90 divisors (see below), whose sum is σ = 1643310. Its totient is φ = 188160.

The previous prime is 568391. The next prime is 568433. The reversal of 568400 is 4865.

It can be written as a sum of positive squares in 3 ways, for example, as 38416 + 529984 = 196^2 + 728^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19586 + ... + 19614.

It is an arithmetic number, because the mean of its divisors is an integer number (18259).

2⁵⁶⁸⁴⁰⁰ is an apocalyptic number.

568400 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 568400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821655).

568400 is an abundant number, since it is smaller than the sum of its proper divisors (1074910).

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

568400 is a wasteful number, since it uses less digits than its factorization.

568400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 568400 is about 753.9230729988. The cubic root of 568400 is about 82.8357908857.

The spelling of 568400 in words is "five hundred sixty-eight thousand, four hundred".