668976000 has 512 divisors, whose sum is σ = 2780144640. Its totient is φ = 138240000.

The previous prime is 668975969. The next prime is 668976019. The reversal of 668976000 is 679866.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3695910 + ... + 3696090.

It is an arithmetic number, because the mean of its divisors is an integer number (5429970).

Almost surely, 2^668976000 is an apocalyptic number.

668976000 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 668976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390072320).

668976000 is an abundant number, since it is smaller than the sum of its proper divisors (2111168640).

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

668976000 is a wasteful number, since it uses less digits than its factorization.

668976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 668976000 is about 25864.5703617903. The cubic root of 668976000 is about 874.5879965102.

The spelling of 668976000 in words is "six hundred sixty-eight million, nine hundred seventy-six thousand".