561718080 has 672 divisors, whose sum is σ = 2567635200. Its totient is φ = 109117440.

The previous prime is 561718061. The next prime is 561718099. The reversal of 561718080 is 80817165.

561718080 is a `hidden beast` number, since 561 + 7 + 18 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (561718061) and next prime (561718099).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3769846 + ... + 3769994.

Almost surely, 2^561718080 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 561718080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283817600).

561718080 is an abundant number, since it is smaller than the sum of its proper divisors (2005917120).

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

561718080 is a wasteful number, since it uses less digits than its factorization.

561718080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 561718080 is about 23700.5923976596. The cubic root of 561718080 is about 825.0991396011.

The spelling of 561718080 in words is "five hundred sixty-one million, seven hundred eighteen thousand, eighty".