568345600 has 99 divisors (see below), whose sum is σ = 1418327407. Its totient is φ = 225812480.

The previous prime is 568345549. The next prime is 568345637. The reversal of 568345600 is 6543865.

The square root of 568345600 is 23840.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 169624576 + 398721024 = 13024^2 + 19968^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 568345600.

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 8 ways as a sum of consecutive naturals, for example, 3814326 + ... + 3814474.

Almost surely, 2^568345600 is an apocalyptic number.

568345600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

568345600 is the 23840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 568345600

568345600 is an abundant number, since it is smaller than the sum of its proper divisors (849981807).

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

568345600 is an equidigital number, since it uses as much as digits as its factorization.

568345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The cubic root of 568345600 is about 828.3314813949.

The spelling of 568345600 in words is "five hundred sixty-eight million, three hundred forty-five thousand, six hundred".