167940864 has 360 divisors, whose sum is σ = 623256480. Its totient is φ = 43794432.

The previous prime is 167940811. The next prime is 167940893. The reversal of 167940864 is 468049761.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1886932 + ... + 1887020.

It is an arithmetic number, because the mean of its divisors is an integer number (1731268).

Almost surely, 2^167940864 is an apocalyptic number.

167940864 is a gapful number since it is divisible by the number (14) 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 167940864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311628240).

167940864 is an abundant number, since it is smaller than the sum of its proper divisors (455315616).

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

167940864 is an equidigital number, since it uses as much as digits as its factorization.

167940864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 167940864 is about 12959.1999753071. The cubic root of 167940864 is about 551.7200849242.

The spelling of 167940864 in words is "one hundred sixty-seven million, nine hundred forty thousand, eight hundred sixty-four".