167116160 has 64 divisors (see below), whose sum is σ = 416918880. Its totient is φ = 63934464.

The previous prime is 167116151. The next prime is 167116177. The reversal of 167116160 is 61611761.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9044 + ... + 20396.

Almost surely, 2^167116160 is an apocalyptic number.

167116160 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 167116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208459440).

167116160 is an abundant number, since it is smaller than the sum of its proper divisors (249802720).

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

167116160 is a wasteful number, since it uses less digits than its factorization.

167116160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11395 (or 11383 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 29.

The square root of 167116160 is about 12927.3415673912. The cubic root of 167116160 is about 550.8154954858.

The spelling of 167116160 in words is "one hundred sixty-seven million, one hundred sixteen thousand, one hundred sixty".