560880 has 120 divisors (see below), whose sum is σ = 2031120. Its totient is φ = 138240.

The previous prime is 560873. The next prime is 560887. The reversal of 560880 is 88065.

It is an interprime number because it is at equal distance from previous prime (560873) and next prime (560887).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (560887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13660 + ... + 13700.

It is an arithmetic number, because the mean of its divisors is an integer number (16926).

2⁵⁶⁰⁸⁸⁰ 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 560880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015560).

560880 is an abundant number, since it is smaller than the sum of its proper divisors (1470240).

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

560880 is a wasteful number, since it uses less digits than its factorization.

560880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 560880 is about 748.9192212782. The cubic root of 560880 is about 82.4688587700.

The spelling of 560880 in words is "five hundred sixty thousand, eight hundred eighty".