167976960 has 112 divisors (see below), whose sum is σ = 537886656. Its totient is φ = 44761088.

The previous prime is 167976943. The next prime is 167976997. The reversal of 167976960 is 69679761.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122197 + ... + 123563.

Almost surely, 2^167976960 is an apocalyptic number.

167976960 is a gapful number since it is divisible by the number (10) 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 167976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268943328).

167976960 is an abundant number, since it is smaller than the sum of its proper divisors (369909696).

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

167976960 is an equidigital number, since it uses as much as digits as its factorization.

167976960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 51.

The square root of 167976960 is about 12960.5925790451. The cubic root of 167976960 is about 551.7596096734.

The spelling of 167976960 in words is "one hundred sixty-seven million, nine hundred seventy-six thousand, nine hundred sixty".