561188864 has 52 divisors (see below), whose sum is σ = 1181469840. Its totient is φ = 265789440.

The previous prime is 561188863. The next prime is 561188867. The reversal of 561188864 is 468881165.

It is a super-2 number, since 2×561188864² = 629865882155220992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (561188863) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 74219 + ... + 81429.

Almost surely, 2^561188864 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 561188864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590734920).

561188864 is an abundant number, since it is smaller than the sum of its proper divisors (620280976).

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

561188864 is an equidigital number, since it uses as much as digits as its factorization.

561188864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7254 (or 7232 counting only the distinct ones).

The product of its digits is 368640, while the sum is 47.

The square root of 561188864 is about 23689.4251513202. The cubic root of 561188864 is about 824.8399390736.

The spelling of 561188864 in words is "five hundred sixty-one million, one hundred eighty-eight thousand, eight hundred sixty-four".