26580 has 24 divisors (see below), whose sum is σ = 74592. Its totient is φ = 7072.

The previous prime is 26573. The next prime is 26591. The reversal of 26580 is 8562.

26580 = T₁₉ + T₂₀ + ... + T₅₄.

It is a happy number.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162 + ... + 281.

It is an arithmetic number, because the mean of its divisors is an integer number (3108).

2²⁶⁵⁸⁰ is an apocalyptic number.

26580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26580 is an abundant number, since it is smaller than the sum of its proper divisors (48012).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37296).

26580 is a wasteful number, since it uses less digits than its factorization.

26580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 26580 is about 163.0337388395. The cubic root of 26580 is about 29.8436308165.

It can be divided in two parts, 26 and 580, that added together give a palindrome (606).

The spelling of 26580 in words is "twenty-six thousand, five hundred eighty".