8256 has 28 divisors (see below), whose sum is σ = 22352. Its totient is φ = 2688.

The previous prime is 8243. The next prime is 8263. The reversal of 8256 is 6528.

It is a happy number.

8256 is nontrivially palindromic in base 7 and base 11.

8256 is a nontrivial binomial coefficient, being equal to C(129, 2).

Its product of digits (480) is a multiple of the sum of its prime divisors (48).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 8256.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 171 + ... + 213.

8256 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

8256 is the 128-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11176).

8256 is an abundant number, since it is smaller than the sum of its proper divisors (14096).

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

8256 is a wasteful number, since it uses less digits than its factorization.

8256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 48 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 8256 is about 90.8625335328. The cubic root of 8256 is about 20.2110973888.

Subtracting from 8256 its product of digits (480), we obtain a 5-th power (7776 = 6⁵).

Subtracting from 8256 its reverse (6528), we obtain a cube (1728 = 12³).

It can be divided in two parts, 825 and 6, that multiplied together give a triangular number (4950 = T₉₉).

The spelling of 8256 in words is "eight thousand, two hundred fifty-six".