256704 has 56 divisors (see below), whose sum is σ = 780288. Its totient is φ = 72960.

The previous prime is 256699. The next prime is 256721. The reversal of 256704 is 407652.

It is a happy number.

256704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

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

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1249 + ... + 1439.

2²⁵⁶⁷⁰⁴ is an apocalyptic number.

256704 is a gapful number since it is divisible by the number (24) 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 256704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390144).

256704 is an abundant number, since it is smaller than the sum of its proper divisors (523584).

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

256704 is a wasteful number, since it uses less digits than its factorization.

256704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 256704 is about 506.6596490742. The cubic root of 256704 is about 63.5541935110.

The spelling of 256704 in words is "two hundred fifty-six thousand, seven hundred four".