563576832 has 384 divisors, whose sum is σ = 2091877200. Its totient is φ = 148635648.

The previous prime is 563576821. The next prime is 563576837. The reversal of 563576832 is 238675365.

563576832 is a `hidden beast` number, since 5 + 635 + 7 + 6 + 8 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

Its product of digits (907200) is a multiple of the sum of its prime divisors (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563576837) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43352058 + ... + 43352070.

Almost surely, 2^563576832 is an apocalyptic number.

563576832 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 563576832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045938600).

563576832 is an abundant number, since it is smaller than the sum of its proper divisors (1528300368).

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

563576832 is an equidigital number, since it uses as much as digits as its factorization.

563576832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 25 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 563576832 is about 23739.7732086893. The cubic root of 563576832 is about 826.0082350994.

The spelling of 563576832 in words is "five hundred sixty-three million, five hundred seventy-six thousand, eight hundred thirty-two".