556320 has 96 divisors (see below), whose sum is σ = 1874880. Its totient is φ = 138240.

The previous prime is 556313. The next prime is 556321. The reversal of 556320 is 23655.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (556321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9090 + ... + 9150.

It is an arithmetic number, because the mean of its divisors is an integer number (19530).

2⁵⁵⁶³²⁰ 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 556320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937440).

556320 is an abundant number, since it is smaller than the sum of its proper divisors (1318560).

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

556320 is a wasteful number, since it uses less digits than its factorization.

556320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 556320 is about 745.8686211391. The cubic root of 556320 is about 82.2447575056.

Adding to 556320 its reverse (23655), we get a palindrome (579975).

The spelling of 556320 in words is "five hundred fifty-six thousand, three hundred twenty".