561088720 has 80 divisors (see below), whose sum is σ = 1350949248. Its totient is φ = 216552960.

The previous prime is 561088711. The next prime is 561088733. The reversal of 561088720 is 27880165.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×561088720² = 629641103422476800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 561088720.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 387037 + ... + 388483.

Almost surely, 2^561088720 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 561088720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675474624).

561088720 is an abundant number, since it is smaller than the sum of its proper divisors (789860528).

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

561088720 is a wasteful number, since it uses less digits than its factorization.

561088720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 37.

The square root of 561088720 is about 23687.3113712806. The cubic root of 561088720 is about 824.7908720006.

The spelling of 561088720 in words is "five hundred sixty-one million, eighty-eight thousand, seven hundred twenty".