561286656 has 120 divisors (see below), whose sum is σ = 1851433584. Its totient is φ = 160358400.

The previous prime is 561286639. The next prime is 561286667. The reversal of 561286656 is 656682165.

It is a happy number.

561286656 is a `hidden beast` number, since 561 + 2 + 86 + 6 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23556 + ... + 40956.

Almost surely, 2^561286656 is an apocalyptic number.

561286656 is a gapful number since it is divisible by the number (56) 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 561286656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925716792).

561286656 is an abundant number, since it is smaller than the sum of its proper divisors (1290146928).

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

561286656 is a wasteful number, since it uses less digits than its factorization.

561286656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17432 (or 17413 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 561286656 is about 23691.4891047397. The cubic root of 561286656 is about 824.8878481155.

The spelling of 561286656 in words is "five hundred sixty-one million, two hundred eighty-six thousand, six hundred fifty-six".