8556 has 24 divisors (see below), whose sum is σ = 21504. Its totient is φ = 2640.

The previous prime is 8543. The next prime is 8563. The reversal of 8556 is 6558.

It is a congruent number.

It is an unprimeable number.

8556 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 261 + ... + 291.

It is an arithmetic number, because the mean of its divisors is an integer number (896).

2⁸⁵⁵⁶ is an apocalyptic number.

It is a pronic number, being equal to 92×93.

8556 is the 59-th centered pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10752).

8556 is an abundant number, since it is smaller than the sum of its proper divisors (12948).

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

8556 is a wasteful number, since it uses less digits than its factorization.

8556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 59 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 8556 is about 92.4986486388. The cubic root of 8556 is about 20.4529956177.

It can be divided in two parts, 855 and 6, that added together give a triangular number (861 = T₄₁).

The spelling of 8556 in words is "eight thousand, five hundred fifty-six".