563640 has 128 divisors (see below), whose sum is σ = 2142720. Its totient is φ = 115200.

The previous prime is 563623. The next prime is 563657. The reversal of 563640 is 46365.

It is an interprime number because it is at equal distance from previous prime (563623) and next prime (563657).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 563640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9210 + ... + 9270.

It is an arithmetic number, because the mean of its divisors is an integer number (16740).

2⁵⁶³⁶⁴⁰ 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 563640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071360).

563640 is an abundant number, since it is smaller than the sum of its proper divisors (1579080).

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

563640 is a wasteful number, since it uses less digits than its factorization.

563640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 563640 is about 750.7596153230. The cubic root of 563640 is about 82.6039094742.

The spelling of 563640 in words is "five hundred sixty-three thousand, six hundred forty".