561533760 has 84 divisors (see below), whose sum is σ = 1931452068. Its totient is φ = 149741568.

The previous prime is 561533747. The next prime is 561533789. The reversal of 561533760 is 67335165.

It is a happy number.

561533760 is a `hidden beast` number, since 5 + 61 + 533 + 7 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 337971456 + 223562304 = 18384^2 + 14952^2 .

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 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, 94609 + ... + 100368.

It is an arithmetic number, because the mean of its divisors is an integer number (22993477).

Almost surely, 2^561533760 is an apocalyptic number.

It is an amenable number.

561533760 is an abundant number, since it is smaller than the sum of its proper divisors (1369918308).

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

561533760 is a wasteful number, since it uses less digits than its factorization.

561533760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195000 (or 194987 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 561533760 is about 23696.7035682181. The cubic root of 561533760 is about 825.0088814471.

The spelling of 561533760 in words is "five hundred sixty-one million, five hundred thirty-three thousand, seven hundred sixty".