26280 has 48 divisors (see below), whose sum is σ = 86580. Its totient is φ = 6912.

The previous prime is 26267. The next prime is 26293. The reversal of 26280 is 8262.

It is an interprime number because it is at equal distance from previous prime (26267) and next prime (26293).

It can be written as a sum of positive squares in 2 ways, for example, as 26244 + 36 = 162^2 + 6^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 3.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 324 + ... + 396.

2²⁶²⁸⁰ is an apocalyptic number.

26280 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 26280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43290).

26280 is an abundant number, since it is smaller than the sum of its proper divisors (60300).

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

26280 is a wasteful number, since it uses less digits than its factorization.

26280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 26280 is about 162.1110730333. Note that the first 3 decimals coincide. The cubic root of 26280 is about 29.7309272096.

Subtracting from 26280 its sum of digits (18), we obtain a palindrome (26262).

The spelling of 26280 in words is "twenty-six thousand, two hundred eighty".