561585960 has 320 divisors, whose sum is σ = 2073456000. Its totient is φ = 135489024.

The previous prime is 561585949. The next prime is 561585967. The reversal of 561585960 is 69585165.

It is a happy number.

561585960 is a `hidden beast` number, since 5 + 6 + 1 + 58 + 596 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (561585967) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2821941 + ... + 2822139.

It is an arithmetic number, because the mean of its divisors is an integer number (6479550).

Almost surely, 2^561585960 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 561585960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036728000).

561585960 is an abundant number, since it is smaller than the sum of its proper divisors (1511870040).

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

561585960 is a wasteful number, since it uses less digits than its factorization.

561585960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The square root of 561585960 is about 23697.8049616415. The cubic root of 561585960 is about 825.0344448429.

The spelling of 561585960 in words is "five hundred sixty-one million, five hundred eighty-five thousand, nine hundred sixty".