556080 has 80 divisors (see below), whose sum is σ = 1976064. Its totient is φ = 126720.

The previous prime is 556069. The next prime is 556093. The reversal of 556080 is 80655.

556080 = 116² + 117² + ... + 147².

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 556080.

It is an unprimeable number.

556080 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 15 ways as a sum of consecutive naturals, for example, 1515 + ... + 1845.

2⁵⁵⁶⁰⁸⁰ 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 556080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988032).

556080 is an abundant number, since it is smaller than the sum of its proper divisors (1419984).

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

556080 is a wasteful number, since it uses less digits than its factorization.

556080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 348 counting only the distinct ones).

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

The square root of 556080 is about 745.7077175409. The cubic root of 556080 is about 82.2329288333.

The spelling of 556080 in words is "five hundred fifty-six thousand, eighty".