668801328 has 80 divisors (see below), whose sum is σ = 1877900640. Its totient is φ = 203876352.

The previous prime is 668801321. The next prime is 668801333. The reversal of 668801328 is 823108866.

668801328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 668801328.

It is not an unprimeable number, because it can be changed into a prime (668801321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63100 + ... + 72932.

It is an arithmetic number, because the mean of its divisors is an integer number (23473758).

Almost surely, 2^668801328 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 668801328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938950320).

668801328 is an abundant number, since it is smaller than the sum of its proper divisors (1209099312).

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

668801328 is a wasteful number, since it uses less digits than its factorization.

668801328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9966 (or 9960 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 668801328 is about 25861.1934759400. The cubic root of 668801328 is about 874.5118705444.

The spelling of 668801328 in words is "six hundred sixty-eight million, eight hundred one thousand, three hundred twenty-eight".