26904 has 32 divisors (see below), whose sum is σ = 72000. Its totient is φ = 8352.

The previous prime is 26903. The next prime is 26921. The reversal of 26904 is 40962.

26904 = T₁₇ + T₁₈ + ... + T₅₄.

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26903) 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, 427 + ... + 485.

It is an arithmetic number, because the mean of its divisors is an integer number (2250).

2²⁶⁹⁰⁴ is an apocalyptic number.

26904 is a gapful number since it is divisible by the number (24) 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 26904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36000).

26904 is an abundant number, since it is smaller than the sum of its proper divisors (45096).

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

26904 is a wasteful number, since it uses less digits than its factorization.

26904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 26904 is about 164.0243884305. The cubic root of 26904 is about 29.9644022211.

The spelling of 26904 in words is "twenty-six thousand, nine hundred four".