667431160 has 96 divisors (see below), whose sum is σ = 1695718080. Its totient is φ = 236079360.

The previous prime is 667431119. The next prime is 667431199. The reversal of 667431160 is 61134766.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177217 + ... + 180943.

It is an arithmetic number, because the mean of its divisors is an integer number (17663730).

Almost surely, 2^667431160 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 667431160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847859040).

667431160 is an abundant number, since it is smaller than the sum of its proper divisors (1028286920).

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

667431160 is a wasteful number, since it uses less digits than its factorization.

667431160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3797 (or 3782 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 667431160 is about 25834.6890827043. The cubic root of 667431160 is about 873.9142603972.

The spelling of 667431160 in words is "six hundred sixty-seven million, four hundred thirty-one thousand, one hundred sixty".