64568000 has 112 divisors (see below), whose sum is σ = 182904384. Its totient is φ = 22118400.

The previous prime is 64567991. The next prime is 64568029. The reversal of 64568000 is 86546.

64568000 is digitally balanced in base 2, 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 (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55424 + ... + 56576.

Almost surely, 2^64568000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91452192).

64568000 is an abundant number, since it is smaller than the sum of its proper divisors (118336384).

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

64568000 is a wasteful number, since it uses less digits than its factorization.

64568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 64568000 is about 8035.4215819707. The cubic root of 64568000 is about 401.1798497978.

The spelling of 64568000 in words is "sixty-four million, five hundred sixty-eight thousand".