556864 has 56 divisors (see below), whose sum is σ = 1389888. Its totient is φ = 215040.

The previous prime is 556861. The next prime is 556867. The reversal of 556864 is 468655.

It is an interprime number because it is at equal distance from previous prime (556861) and next prime (556867).

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556861) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4872 + ... + 4984.

2⁵⁵⁶⁸⁶⁴ 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 556864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694944).

556864 is an abundant number, since it is smaller than the sum of its proper divisors (833024).

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

556864 is a wasteful number, since it uses less digits than its factorization.

556864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 133 counting only the distinct ones).

The product of its digits is 28800, while the sum is 34.

The square root of 556864 is about 746.2332075163. The cubic root of 556864 is about 82.2715565736.

Subtracting from 556864 its reverse (468655), we obtain a square (88209 = 297²).

The spelling of 556864 in words is "five hundred fifty-six thousand, eight hundred sixty-four".