26864 has 20 divisors (see below), whose sum is σ = 55056. Its totient is φ = 12672.

The previous prime is 26863. The next prime is 26879. The reversal of 26864 is 46862.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26861) 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, 332 + ... + 404.

2²⁶⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27528).

26864 is an abundant number, since it is smaller than the sum of its proper divisors (28192).

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

26864 is a wasteful number, since it uses less digits than its factorization.

26864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 98 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 26864 is about 163.9024099884. The cubic root of 26864 is about 29.9495448197.

The spelling of 26864 in words is "twenty-six thousand, eight hundred sixty-four".