256056 has 32 divisors (see below), whose sum is σ = 656640. Its totient is φ = 83168.

The previous prime is 256049. The next prime is 256057. The reversal of 256056 is 650652.

256056 = T₈₀ + T₈₁ + ... + T₁₂₆.

256056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256057) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1015 + ... + 1241.

It is an arithmetic number, because the mean of its divisors is an integer number (20520).

2²⁵⁶⁰⁵⁶ 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 256056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328320).

256056 is an abundant number, since it is smaller than the sum of its proper divisors (400584).

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

256056 is a wasteful number, since it uses less digits than its factorization.

256056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 256056 is about 506.0197624599. The cubic root of 256056 is about 63.5006716609.

The spelling of 256056 in words is "two hundred fifty-six thousand, fifty-six".