556560 has 60 divisors (see below), whose sum is σ = 1871532. Its totient is φ = 148224.

The previous prime is 556559. The next prime is 556573. The reversal of 556560 is 65655.

556560 is a `hidden beast` number, since 5 + 5 + 656 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 104976 + 451584 = 324^2 + 672^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 334 + ... + 1106.

2⁵⁵⁶⁵⁶⁰ 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 556560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935766).

556560 is an abundant number, since it is smaller than the sum of its proper divisors (1314972).

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

556560 is a wasteful number, since it uses less digits than its factorization.

556560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 556560 is about 746.0294900337. The cubic root of 556560 is about 82.2565827764.

It can be divided in two parts, 5565 and 60, that added together give a square (5625 = 75²).

The spelling of 556560 in words is "five hundred fifty-six thousand, five hundred sixty".