563672560 has 80 divisors (see below), whose sum is σ = 1433515392. Its totient is φ = 204422400.

The previous prime is 563672497. The next prime is 563672567. The reversal of 563672560 is 65276365.

563672560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563672567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 480775 + ... + 481945.

Almost surely, 2^563672560 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 563672560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716757696).

563672560 is an abundant number, since it is smaller than the sum of its proper divisors (869842832).

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

563672560 is a wasteful number, since it uses less digits than its factorization.

563672560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 40.

The square root of 563672560 is about 23741.7893175725. The cubic root of 563672560 is about 826.0550004709.

The spelling of 563672560 in words is "five hundred sixty-three million, six hundred seventy-two thousand, five hundred sixty".