167964864 has 112 divisors (see below), whose sum is σ = 479633280. Its totient is φ = 51701760.

The previous prime is 167964847. The next prime is 167964893. The reversal of 167964864 is 468469761.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149007 + ... + 150129.

It is an arithmetic number, because the mean of its divisors is an integer number (4282440).

Almost surely, 2^167964864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 167964864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239816640).

167964864 is an abundant number, since it is smaller than the sum of its proper divisors (311668416).

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

167964864 is a wasteful number, since it uses less digits than its factorization.

167964864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1188 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The square root of 167964864 is about 12960.1259253142. The cubic root of 167964864 is about 551.7463653085.

The spelling of 167964864 in words is "one hundred sixty-seven million, nine hundred sixty-four thousand, eight hundred sixty-four".