8056 has 16 divisors (see below), whose sum is σ = 16200. Its totient is φ = 3744.

The previous prime is 8053. The next prime is 8059. The reversal of 8056 is 6508.

8056 = 6³ + 7³ + ... + 13³.

It is an interprime number because it is at equal distance from previous prime (8053) and next prime (8059).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8053) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 126 + ... + 178.

2⁸⁰⁵⁶ is an apocalyptic number.

It is an amenable number.

8056 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8100).

8056 is a wasteful number, since it uses less digits than its factorization.

8056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 8056 is about 89.7552226893. The cubic root of 8056 is about 20.0465581993.

8056 divided by its sum of digits (19) gives a palindrome (424).

It can be divided in two parts, 80 and 56, that added together give a triangular number (136 = T₁₆).

The spelling of 8056 in words is "eight thousand, fifty-six".