668431008 has 192 divisors, whose sum is σ = 2257920000. Its totient is φ = 188428032.

The previous prime is 668430979. The next prime is 668431019. The reversal of 668431008 is 800134866.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 477093 + ... + 478491.

It is an arithmetic number, because the mean of its divisors is an integer number (11760000).

Almost surely, 2^668431008 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 668431008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128960000).

668431008 is an abundant number, since it is smaller than the sum of its proper divisors (1589488992).

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

668431008 is a wasteful number, since it uses less digits than its factorization.

668431008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 668431008 is about 25854.0327221886. The cubic root of 668431008 is about 874.3504329528.

The spelling of 668431008 in words is "six hundred sixty-eight million, four hundred thirty-one thousand, eight".