167967160 has 128 divisors (see below), whose sum is σ = 416223360. Its totient is φ = 60825600.

The previous prime is 167967133. The next prime is 167967167. The reversal of 167967160 is 61769761.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167967167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2300884 + ... + 2300956.

It is an arithmetic number, because the mean of its divisors is an integer number (3251745).

Almost surely, 2^167967160 is an apocalyptic number.

167967160 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 167967160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208111680).

167967160 is an abundant number, since it is smaller than the sum of its proper divisors (248256200).

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

167967160 is a wasteful number, since it uses less digits than its factorization.

167967160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 43.

The square root of 167967160 is about 12960.2145043977. The cubic root of 167967160 is about 551.7488793341.

The spelling of 167967160 in words is "one hundred sixty-seven million, nine hundred sixty-seven thousand, one hundred sixty".