563356160 has 80 divisors (see below), whose sum is σ = 1356817176. Its totient is φ = 224329728.

The previous prime is 563356159. The next prime is 563356207. The reversal of 563356160 is 61653365.

It can be written as a sum of positive squares in 4 ways, for example, as 315986176 + 247369984 = 17776^2 + 15728^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 563356160.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 862394 + ... + 863046.

Almost surely, 2^563356160 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 563356160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678408588).

563356160 is an abundant number, since it is smaller than the sum of its proper divisors (793461016).

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

563356160 is an equidigital number, since it uses as much as digits as its factorization.

563356160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 35.

The square root of 563356160 is about 23735.1250260031. The cubic root of 563356160 is about 825.9004114779.

The spelling of 563356160 in words is "five hundred sixty-three million, three hundred fifty-six thousand, one hundred sixty".