26809 has 8 divisors (see below), whose sum is σ = 30240. Its totient is φ = 23616.

The previous prime is 26801. The next prime is 26813. The reversal of 26809 is 90862.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 26809 - 2³ = 26801 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (26801) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 282 + ... + 364.

It is an arithmetic number, because the mean of its divisors is an integer number (3780).

2²⁶⁸⁰⁹ is an apocalyptic number.

It is an amenable number.

26809 is a deficient number, since it is larger than the sum of its proper divisors (3431).

26809 is a wasteful number, since it uses less digits than its factorization.

26809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119.

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 26809 is about 163.7345412550. The cubic root of 26809 is about 29.9290917922.

The spelling of 26809 in words is "twenty-six thousand, eight hundred nine".