667772160 has 144 divisors (see below), whose sum is σ = 2326726080. Its totient is φ = 161873920.

The previous prime is 667772159. The next prime is 667772201. The reversal of 667772160 is 61277766.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34336 + ... + 50144.

It is an arithmetic number, because the mean of its divisors is an integer number (16157820).

Almost surely, 2^667772160 is an apocalyptic number.

667772160 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 667772160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163363040).

667772160 is an abundant number, since it is smaller than the sum of its proper divisors (1658953920).

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

667772160 is a wasteful number, since it uses less digits than its factorization.

667772160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15844 (or 15830 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 42.

The square root of 667772160 is about 25841.2878936016. The cubic root of 667772160 is about 874.0630667678.

The spelling of 667772160 in words is "six hundred sixty-seven million, seven hundred seventy-two thousand, one hundred sixty".