667578160 has 40 divisors (see below), whose sum is σ = 1558069920. Its totient is φ = 266007552.

The previous prime is 667578157. The next prime is 667578181. The reversal of 667578160 is 61875766.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 667578160.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5176 + ... + 36904.

It is an arithmetic number, because the mean of its divisors is an integer number (38951748).

Almost surely, 2^667578160 is an apocalyptic number.

It is an amenable number.

667578160 is an abundant number, since it is smaller than the sum of its proper divisors (890491760).

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

667578160 is a wasteful number, since it uses less digits than its factorization.

667578160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32005 (or 31999 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 46.

The square root of 667578160 is about 25837.5339380522. The cubic root of 667578160 is about 873.9784148118.

The spelling of 667578160 in words is "six hundred sixty-seven million, five hundred seventy-eight thousand, one hundred sixty".