563360832 has 140 divisors (see below), whose sum is σ = 1686989260. Its totient is φ = 185877504.

The previous prime is 563360821. The next prime is 563360843. The reversal of 563360832 is 238063365.

It is a happy number.

563360832 is a `hidden beast` number, since 563 + 3 + 60 + 8 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (563360821) and next prime (563360843).

It can be written as a sum of positive squares in 2 ways, for example, as 442008576 + 121352256 = 21024^2 + 11016^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 564558 + ... + 565554.

Almost surely, 2^563360832 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 563360832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843494630).

563360832 is an abundant number, since it is smaller than the sum of its proper divisors (1123628428).

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

563360832 is a wasteful number, since it uses less digits than its factorization.

563360832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 563360832 is about 23735.2234453354. The cubic root of 563360832 is about 825.9026945783.

The spelling of 563360832 in words is "five hundred sixty-three million, three hundred sixty thousand, eight hundred thirty-two".