563840 has 32 divisors (see below), whose sum is σ = 1349460. Its totient is φ = 225280.

The previous prime is 563837. The next prime is 563851. The reversal of 563840 is 48365.

It can be written as a sum of positive squares in 2 ways, for example, as 529984 + 33856 = 728^2 + 184^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 200 + ... + 1080.

2⁵⁶³⁸⁴⁰ 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 563840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674730).

563840 is an abundant number, since it is smaller than the sum of its proper divisors (785620).

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

563840 is an equidigital number, since it uses as much as digits as its factorization.

563840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 563840 is about 750.8928019365. The cubic root of 563840 is about 82.6136786107.

The spelling of 563840 in words is "five hundred sixty-three thousand, eight hundred forty".