563808 has 48 divisors (see below), whose sum is σ = 1693440. Its totient is φ = 160896.

The previous prime is 563777. The next prime is 563809. The reversal of 563808 is 808365.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563809) by changing a digit.

563808 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 253 + ... + 1091.

It is an arithmetic number, because the mean of its divisors is an integer number (35280).

2⁵⁶³⁸⁰⁸ 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 563808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846720).

563808 is an abundant number, since it is smaller than the sum of its proper divisors (1129632).

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

563808 is a wasteful number, since it uses less digits than its factorization.

563808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 851 counting only the distinct ones).

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

The square root of 563808 is about 750.8714936659. The cubic root of 563808 is about 82.6121157041.

The spelling of 563808 in words is "five hundred sixty-three thousand, eight hundred eight".