560561760 has 288 divisors, whose sum is σ = 2137943808. Its totient is φ = 132572160.

The previous prime is 560561759. The next prime is 560561767. The reversal of 560561760 is 67165065.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (560561767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 680709 + ... + 681531.

It is an arithmetic number, because the mean of its divisors is an integer number (7423416).

Almost surely, 2^560561760 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 560561760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068971904).

560561760 is an abundant number, since it is smaller than the sum of its proper divisors (1577382048).

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

560561760 is a wasteful number, since it uses less digits than its factorization.

560561760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 560561760 is about 23676.1855035814. The cubic root of 560561760 is about 824.5325837131.

The spelling of 560561760 in words is "five hundred sixty million, five hundred sixty-one thousand, seven hundred sixty".