563880 has 64 divisors (see below), whose sum is σ = 1751040. Its totient is φ = 145152.

The previous prime is 563869. The next prime is 563881. The reversal of 563880 is 88365.

It is a hoax number, since the sum of its digits (30) 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 (30).

It is not an unprimeable number, because it can be changed into a prime (563881) 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, 4377 + ... + 4503.

It is an arithmetic number, because the mean of its divisors is an integer number (27360).

2⁵⁶³⁸⁸⁰ 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 563880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875520).

563880 is an abundant number, since it is smaller than the sum of its proper divisors (1187160).

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

563880 is a wasteful number, since it uses less digits than its factorization.

563880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 563880 is about 750.9194364244. The cubic root of 563880 is about 82.6156321607.

The spelling of 563880 in words is "five hundred sixty-three thousand, eight hundred eighty".