561692880 has 600 divisors, whose sum is σ = 2386086120. Its totient is φ = 121927680.

The previous prime is 561692837. The next prime is 561692891. The reversal of 561692880 is 88296165.

561692880 is a `hidden beast` number, since 5 + 616 + 9 + 28 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 571536 + 561121344 = 756^2 + 23688^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9208050 + ... + 9208110.

Almost surely, 2^561692880 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 561692880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193043060).

561692880 is an abundant number, since it is smaller than the sum of its proper divisors (1824393240).

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

561692880 is a wasteful number, since it uses less digits than its factorization.

561692880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 561692880 is about 23700.0607594158. The cubic root of 561692880 is about 825.0868007845.

It can be divided in two parts, 56169 and 2880, that added together give a 10-th power (59049 = 3¹⁰).

The spelling of 561692880 in words is "five hundred sixty-one million, six hundred ninety-two thousand, eight hundred eighty".