561665088 has 84 divisors (see below), whose sum is σ = 1619829120. Its totient is φ = 186068736.

The previous prime is 561665063. The next prime is 561665101. The reversal of 561665088 is 880566165.

561665088 is a `hidden beast` number, since 561 + 6 + 6 + 5 + 0 + 88 = 666.

561665088 is nontrivially palindromic in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93273 + ... + 99111.

It is an arithmetic number, because the mean of its divisors is an integer number (19283680).

Almost surely, 2^561665088 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 561665088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809914560).

561665088 is an abundant number, since it is smaller than the sum of its proper divisors (1058164032).

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

561665088 is a wasteful number, since it uses less digits than its factorization.

561665088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6024 (or 6011 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 561665088 is about 23699.4744245521. The cubic root of 561665088 is about 825.0731924044.

The spelling of 561665088 in words is "five hundred sixty-one million, six hundred sixty-five thousand, eighty-eight".