167908960 has 96 divisors (see below), whose sum is σ = 412648992. Its totient is φ = 64512000.

The previous prime is 167908943. The next prime is 167908963. The reversal of 167908960 is 69809761.

It is a self number, because there is not a number n which added to its sum of digits gives 167908960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167908963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 668835 + ... + 669085.

It is an arithmetic number, because the mean of its divisors is an integer number (4298427).

Almost surely, 2^167908960 is an apocalyptic number.

167908960 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 167908960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206324496).

167908960 is an abundant number, since it is smaller than the sum of its proper divisors (244740032).

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

167908960 is a wasteful number, since it uses less digits than its factorization.

167908960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 46.

The square root of 167908960 is about 12957.9689766568. The cubic root of 167908960 is about 551.6851456567.

The spelling of 167908960 in words is "one hundred sixty-seven million, nine hundred eight thousand, nine hundred sixty".