26560 has 28 divisors (see below), whose sum is σ = 64008. Its totient is φ = 10496.

The previous prime is 26557. The next prime is 26561. The reversal of 26560 is 6562.

It is a nialpdrome in base 14.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 279 + ... + 361.

It is an arithmetic number, because the mean of its divisors is an integer number (2286).

2²⁶⁵⁶⁰ is an apocalyptic number.

26560 is a gapful number since it is divisible by the number (20) 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 26560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32004).

26560 is an abundant number, since it is smaller than the sum of its proper divisors (37448).

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

26560 is an equidigital number, since it uses as much as digits as its factorization.

26560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 26560 is about 162.9723902997. The cubic root of 26560 is about 29.8361437036.

It can be divided in two parts, 265 and 60, that added together give a triangular number (325 = T₂₅).

The spelling of 26560 in words is "twenty-six thousand, five hundred sixty".