256256 has 72 divisors (see below), whose sum is σ = 686784. Its totient is φ = 92160.

The previous prime is 256219. The next prime is 256279. The reversal of 256256 is 652652.

256256 = T₄₀ + T₄₁ + ... + T₁₁₆.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a nialpdrome in base 4 and base 8.

It is a zygodrome in base 3.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 256256.

It is an unprimeable number.

256256 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19706 + ... + 19718.

2²⁵⁶²⁵⁶ is an apocalyptic number.

256256 is a gapful number since it is divisible by the number (26) 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 256256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343392).

256256 is an abundant number, since it is smaller than the sum of its proper divisors (430528).

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

256256 is a wasteful number, since it uses less digits than its factorization.

256256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 33 counting only the distinct ones).

The product of its digits is 3600, while the sum is 26.

The square root of 256256 is about 506.2173446258. The cubic root of 256256 is about 63.5172003749.

It can be divided in two parts, 256 and 256, that added together give a 9-th power (512 = 2⁹).

The spelling of 256256 in words is "two hundred fifty-six thousand, two hundred fifty-six".