568752000 has 384 divisors, whose sum is σ = 2051693280. Its totient is φ = 139264000.

The previous prime is 568751993. The next prime is 568752043. The reversal of 568752000 is 257865.

It is a happy number.

568752000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a zygodrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13871980 + ... + 13872020.

Almost surely, 2^568752000 is an apocalyptic number.

568752000 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 568752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025846640).

568752000 is an abundant number, since it is smaller than the sum of its proper divisors (1482941280).

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

568752000 is a wasteful number, since it uses less digits than its factorization.

568752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 568752000 is about 23848.5219667802. The cubic root of 568752000 is about 828.5288693388.

The spelling of 568752000 in words is "five hundred sixty-eight million, seven hundred fifty-two thousand".