167280960 has 448 divisors, whose sum is σ = 692895744. Its totient is φ = 33177600.

The previous prime is 167280941. The next prime is 167280979. The reversal of 167280960 is 69082761.

It is an interprime number because it is at equal distance from previous prime (167280941) and next prime (167280979).

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2291484 + ... + 2291556.

Almost surely, 2^167280960 is an apocalyptic number.

167280960 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 167280960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346447872).

167280960 is an abundant number, since it is smaller than the sum of its proper divisors (525614784).

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

167280960 is a wasteful number, since it uses less digits than its factorization.

167280960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 167280960 is about 12933.7140837425. The cubic root of 167280960 is about 550.9964964759.

The spelling of 167280960 in words is "one hundred sixty-seven million, two hundred eighty thousand, nine hundred sixty".