556288 has 36 divisors (see below), whose sum is σ = 1158948. Its totient is φ = 266240.

The previous prime is 556279. The next prime is 556289. The reversal of 556288 is 882655.

It can be written as a sum of positive squares in 2 ways, for example, as 186624 + 369664 = 432^2 + 608^2 .

It is an Ulam number.

Its product of digits (19200) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10470 + ... + 10522.

It is an arithmetic number, because the mean of its divisors is an integer number (32193).

2⁵⁵⁶²⁸⁸ 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 556288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579474).

556288 is an abundant number, since it is smaller than the sum of its proper divisors (602660).

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

556288 is an equidigital number, since it uses as much as digits as its factorization.

556288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 96 counting only the distinct ones).

The product of its digits is 19200, while the sum is 34.

The square root of 556288 is about 745.8471693316. The cubic root of 556288 is about 82.2431805459.

The spelling of 556288 in words is "five hundred fifty-six thousand, two hundred eighty-eight".