568368000 has 192 divisors, whose sum is σ = 2041668720. Its totient is φ = 151526400.

The previous prime is 568367983. The next prime is 568368007. The reversal of 568368000 is 863865.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (568368007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142027 + ... + 145973.

Almost surely, 2^568368000 is an apocalyptic number.

568368000 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 568368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020834360).

568368000 is an abundant number, since it is smaller than the sum of its proper divisors (1473300720).

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

568368000 is a wasteful number, since it uses less digits than its factorization.

568368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3982 (or 3957 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 568368000 is about 23840.4697940288. The cubic root of 568368000 is about 828.3423634951.

The spelling of 568368000 in words is "five hundred sixty-eight million, three hundred sixty-eight thousand".