668564000 has 288 divisors, whose sum is σ = 1899241344. Its totient is φ = 230630400.

The previous prime is 668563993. The next prime is 668564009. The reversal of 668564000 is 465866.

668564000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (668564009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15547979 + ... + 15548021.

It is an arithmetic number, because the mean of its divisors is an integer number (6594588).

Almost surely, 2^668564000 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 668564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949620672).

668564000 is an abundant number, since it is smaller than the sum of its proper divisors (1230677344).

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

668564000 is a wasteful number, since it uses less digits than its factorization.

668564000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 668564000 is about 25856.6045721398. The cubic root of 668564000 is about 874.4084164497.

The spelling of 668564000 in words is "six hundred sixty-eight million, five hundred sixty-four thousand".