26304 has 28 divisors (see below), whose sum is σ = 70104. Its totient is φ = 8704.

The previous prime is 26297. The next prime is 26309. The reversal of 26304 is 40362.

26304 = 50² + 51² + ... + 58².

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (26309) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 124 + ... + 260.

2²⁶³⁰⁴ is an apocalyptic number.

26304 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 26304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35052).

26304 is an abundant number, since it is smaller than the sum of its proper divisors (43800).

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

26304 is a wasteful number, since it uses less digits than its factorization.

26304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 26304 is about 162.1850794617. The cubic root of 26304 is about 29.7399749665.

Adding to 26304 its reverse (40362), we get a palindrome (66666).

The spelling of 26304 in words is "twenty-six thousand, three hundred four".