8560 has 20 divisors (see below), whose sum is σ = 20088. Its totient is φ = 3392.

The previous prime is 8543. The next prime is 8563. The reversal of 8560 is 658.

8560 = T₅₆ + T₅₇ + ... + T₆₀.

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27 + ... + 133.

2⁸⁵⁶⁰ is an apocalyptic number.

8560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10044).

8560 is an abundant number, since it is smaller than the sum of its proper divisors (11528).

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

8560 is a wasteful number, since it uses less digits than its factorization.

8560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 8560 is about 92.5202680498. The cubic root of 8560 is about 20.4561824354.

The spelling of 8560 in words is "eight thousand, five hundred sixty".