668807160 has 128 divisors (see below), whose sum is σ = 2305152000. Its totient is φ = 152064000.

The previous prime is 668807147. The next prime is 668807173. The reversal of 668807160 is 61708866.

It is an interprime number because it is at equal distance from previous prime (668807147) and next prime (668807173).

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 31 ways as a sum of consecutive naturals, for example, 165160 + ... + 169160.

It is an arithmetic number, because the mean of its divisors is an integer number (18009000).

Almost surely, 2^668807160 is an apocalyptic number.

668807160 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 668807160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152576000).

668807160 is an abundant number, since it is smaller than the sum of its proper divisors (1636344840).

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

668807160 is a wasteful number, since it uses less digits than its factorization.

668807160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4221 (or 4217 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 668807160 is about 25861.3062315112. The cubic root of 668807160 is about 874.5144124743.

The spelling of 668807160 in words is "six hundred sixty-eight million, eight hundred seven thousand, one hundred sixty".