167118960 has 80 divisors (see below), whose sum is σ = 519966720. Its totient is φ = 44401920.

The previous prime is 167118947. The next prime is 167118961. The reversal of 167118960 is 69811761.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167118961) 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, 73521 + ... + 75759.

It is an arithmetic number, because the mean of its divisors is an integer number (6499584).

Almost surely, 2^167118960 is an apocalyptic number.

167118960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

167118960 is the 7464-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 167118960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259983360).

167118960 is an abundant number, since it is smaller than the sum of its proper divisors (352847760).

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

167118960 is a wasteful number, since it uses less digits than its factorization.

167118960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2566 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 39.

The square root of 167118960 is about 12927.4498645324. The cubic root of 167118960 is about 550.8185717389.

The spelling of 167118960 in words is "one hundred sixty-seven million, one hundred eighteen thousand, nine hundred sixty".