668800320 has 112 divisors (see below), whose sum is σ = 2196754560. Its totient is φ = 172189696.

The previous prime is 668800313. The next prime is 668800343. The reversal of 668800320 is 23008866.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15829 + ... + 39851.

It is an arithmetic number, because the mean of its divisors is an integer number (19613880).

Almost surely, 2^668800320 is an apocalyptic number.

668800320 is a gapful number since it is divisible by the number (60) 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 668800320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098377280).

668800320 is an abundant number, since it is smaller than the sum of its proper divisors (1527954240).

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

668800320 is a wasteful number, since it uses less digits than its factorization.

668800320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24072 (or 24062 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 668800320 is about 25861.1739872729. The cubic root of 668800320 is about 874.5114311970.

The spelling of 668800320 in words is "six hundred sixty-eight million, eight hundred thousand, three hundred twenty".