26260 has 24 divisors (see below), whose sum is σ = 59976. Its totient is φ = 9600.

The previous prime is 26251. The next prime is 26261. The reversal of 26260 is 6262.

It can be written as a sum of positive squares in 4 ways, for example, as 4356 + 21904 = 66^2 + 148^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26261) 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 7 ways as a sum of consecutive naturals, for example, 210 + ... + 310.

It is an arithmetic number, because the mean of its divisors is an integer number (2499).

2²⁶²⁶⁰ is an apocalyptic number.

26260 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 26260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29988).

26260 is an abundant number, since it is smaller than the sum of its proper divisors (33716).

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

26260 is a wasteful number, since it uses less digits than its factorization.

26260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 26260 is about 162.0493751916. The cubic root of 26260 is about 29.7233832034.

Subtracting from 26260 its sum of digits (16), we obtain a square (26244 = 162²).

The spelling of 26260 in words is "twenty-six thousand, two hundred sixty".