561191760 has 480 divisors, whose sum is σ = 2192716800. Its totient is φ = 131604480.

The previous prime is 561191749. The next prime is 561191773. The reversal of 561191760 is 67191165.

It is a happy number.

561191760 is a `hidden beast` number, since 561 + 1 + 91 + 7 + 6 + 0 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18102945 + ... + 18102975.

It is an arithmetic number, because the mean of its divisors is an integer number (4568160).

Almost surely, 2^561191760 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 561191760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096358400).

561191760 is an abundant number, since it is smaller than the sum of its proper divisors (1631525040).

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

561191760 is a wasteful number, since it uses less digits than its factorization.

561191760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 561191760 is about 23689.4862755611. The cubic root of 561191760 is about 824.8413579259.

The spelling of 561191760 in words is "five hundred sixty-one million, one hundred ninety-one thousand, seven hundred sixty".