26884 has 24 divisors (see below), whose sum is σ = 56448. Its totient is φ = 11040.

The previous prime is 26881. The next prime is 26891. The reversal of 26884 is 48862.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (26881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 549 + ... + 595.

It is an arithmetic number, because the mean of its divisors is an integer number (2352).

2²⁶⁸⁸⁴ is an apocalyptic number.

26884 is the 104-th heptagonal number and also the 88-th nonagonal number.

It is an amenable number.

26884 is an abundant number, since it is smaller than the sum of its proper divisors (29564).

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 (28224).

26884 is a wasteful number, since it uses less digits than its factorization.

26884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 73 counting only the distinct ones).

The product of its digits is 3072, while the sum is 28.

The square root of 26884 is about 163.9634105525. The cubic root of 26884 is about 29.9569753626.

It can be divided in two parts, 2 and 6884, that added together give a palindrome (6886).

The spelling of 26884 in words is "twenty-six thousand, eight hundred eighty-four".