667172160 has 224 divisors, whose sum is σ = 2418405120. Its totient is φ = 173021184.

The previous prime is 667172159. The next prime is 667172179. The reversal of 667172160 is 61271766.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 318637 + ... + 320723.

Almost surely, 2^667172160 is an apocalyptic number.

667172160 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 667172160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209202560).

667172160 is an abundant number, since it is smaller than the sum of its proper divisors (1751232960).

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

667172160 is a wasteful number, since it uses less digits than its factorization.

667172160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 667172160 is about 25829.6759561555. The cubic root of 667172160 is about 873.8012035052.

The spelling of 667172160 in words is "six hundred sixty-seven million, one hundred seventy-two thousand, one hundred sixty".