561159760 has 240 divisors, whose sum is σ = 1609892496. Its totient is φ = 181149696.

The previous prime is 561159733. The next prime is 561159779. The reversal of 561159760 is 67951165.

It can be written as a sum of positive squares in 8 ways, for example, as 50580544 + 510579216 = 7112^2 + 22596^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7687084 + ... + 7687156.

Almost surely, 2^561159760 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 561159760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804946248).

561159760 is an abundant number, since it is smaller than the sum of its proper divisors (1048732736).

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

561159760 is a wasteful number, since it uses less digits than its factorization.

561159760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 40.

The square root of 561159760 is about 23688.8108608263. The cubic root of 561159760 is about 824.8256797287.

The spelling of 561159760 in words is "five hundred sixty-one million, one hundred fifty-nine thousand, seven hundred sixty".