563580 has 72 divisors (see below), whose sum is σ = 1782144. Its totient is φ = 144000.

The previous prime is 563561. The next prime is 563587. The reversal of 563580 is 85365.

563580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563587) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5530 + ... + 5630.

It is an arithmetic number, because the mean of its divisors is an integer number (24752).

2⁵⁶³⁵⁸⁰ 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 563580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891072).

563580 is an abundant number, since it is smaller than the sum of its proper divisors (1218564).

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

563580 is a wasteful number, since it uses less digits than its factorization.

563580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 563580 is about 750.7196547314. The cubic root of 563580 is about 82.6009782826.

The spelling of 563580 in words is "five hundred sixty-three thousand, five hundred eighty".