556956 has 42 divisors (see below), whose sum is σ = 1468992. Its totient is φ = 184680.

The previous prime is 556943. The next prime is 556957. The reversal of 556956 is 659655.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 556956.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556957) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2821 + ... + 3011.

It is an arithmetic number, because the mean of its divisors is an integer number (34976).

2⁵⁵⁶⁹⁵⁶ 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 556956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734496).

556956 is an abundant number, since it is smaller than the sum of its proper divisors (912036).

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

556956 is a wasteful number, since it uses less digits than its factorization.

556956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 196 counting only the distinct ones).

The product of its digits is 40500, while the sum is 36.

The square root of 556956 is about 746.2948478986. The cubic root of 556956 is about 82.2760870433.

It can be divided in two parts, 5569 and 56, that added together give a square (5625 = 75²).

The spelling of 556956 in words is "five hundred fifty-six thousand, nine hundred fifty-six".