6560 has 24 divisors (see below), whose sum is σ = 15876. Its totient is φ = 2560.

The previous prime is 6553. The next prime is 6563. The reversal of 6560 is 656.

It is a happy number.

6560 is nontrivially palindromic in base 3 and base 9.

It is a Cunningham number, because it is equal to 3⁸-1.

It can be written as a sum of positive squares in 2 ways, for example, as 5776 + 784 = 76^2 + 28^2 .

6560 is a nontrivial repdigit in base 3 and base 9.

It is a plaindrome in base 3, base 9 and base 14.

It is a nialpdrome in base 3 and base 9.

It is a zygodrome in base 3 and base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6563) 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, 140 + ... + 180.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7938).

6560 is an abundant number, since it is smaller than the sum of its proper divisors (9316).

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

6560 is a wasteful number, since it uses less digits than its factorization.

6560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 6560 is about 80.9938269253. The cubic root of 6560 is about 18.7198032463.

It can be divided in two parts, 65 and 60, that added together give a cube (125 = 5³).

The spelling of 6560 in words is "six thousand, five hundred sixty".