256956 has 72 divisors (see below), whose sum is σ = 766080. Its totient is φ = 66528.

The previous prime is 256939. The next prime is 256957. The reversal of 256956 is 659652.

Its product of digits (16200) is a multiple of the sum of its prime divisors (54).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 256956.

It is not an unprimeable number, because it can be changed into a prime (256957) by changing a digit.

256956 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11161 + ... + 11183.

It is an arithmetic number, because the mean of its divisors is an integer number (10640).

2²⁵⁶⁹⁵⁶ 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 256956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383040).

256956 is an abundant number, since it is smaller than the sum of its proper divisors (509124).

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

256956 is a wasteful number, since it uses less digits than its factorization.

256956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 54 counting only the distinct ones).

The product of its digits is 16200, while the sum is 33.

The square root of 256956 is about 506.9082757265. The cubic root of 256956 is about 63.5749832389.

The spelling of 256956 in words is "two hundred fifty-six thousand, nine hundred fifty-six".