167864256 has 336 divisors, whose sum is σ = 608624640. Its totient is φ = 43130880.

The previous prime is 167864233. The next prime is 167864311. The reversal of 167864256 is 652468761.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2124825 + ... + 2124903.

Almost surely, 2^167864256 is an apocalyptic number.

167864256 is a gapful number since it is divisible by the number (16) 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 167864256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304312320).

167864256 is an abundant number, since it is smaller than the sum of its proper divisors (440760384).

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

167864256 is a wasteful number, since it uses less digits than its factorization.

167864256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 139 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 167864256 is about 12956.2439001433. The cubic root of 167864256 is about 551.6361811826.

The spelling of 167864256 in words is "one hundred sixty-seven million, eight hundred sixty-four thousand, two hundred fifty-six".