164000256 has 120 divisors (see below), whose sum is σ = 508471920. Its totient is φ = 46835712.

The previous prime is 164000233. The next prime is 164000329. The reversal of 164000256 is 652000461.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74175 + ... + 76353.

It is an arithmetic number, because the mean of its divisors is an integer number (4237266).

Almost surely, 2^164000256 is an apocalyptic number.

164000256 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 164000256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254235960).

164000256 is an abundant number, since it is smaller than the sum of its proper divisors (344471664).

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

164000256 is an equidigital number, since it uses as much as digits as its factorization.

164000256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2214 (or 2191 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 164000256 is about 12806.2584699826. The cubic root of 164000256 is about 547.3706522903.

The spelling of 164000256 in words is "one hundred sixty-four million, two hundred fifty-six", and thus it is an aban number.