26004 has 24 divisors (see below), whose sum is σ = 66528. Its totient is φ = 7840.

The previous prime is 26003. The next prime is 26017. The reversal of 26004 is 40062.

Added to its reverse (40062) it gives a triangular number (66066 = T₃₆₃).

It is a Harshad number since it is a multiple of its sum of digits (12).

26004 is an undulating number in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 26004.

It is not an unprimeable number, because it can be changed into a prime (26003) 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 7 ways as a sum of consecutive naturals, for example, 34 + ... + 230.

It is an arithmetic number, because the mean of its divisors is an integer number (2772).

2²⁶⁰⁰⁴ 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 26004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33264).

26004 is an abundant number, since it is smaller than the sum of its proper divisors (40524).

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

26004 is a wasteful number, since it uses less digits than its factorization.

26004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 26004 is about 161.2575579624. The cubic root of 26004 is about 29.6264798349.

Adding to 26004 its reverse (40062), we get a palindrome (66066).

It can be divided in two parts, 2 and 6004, that added together give a palindrome (6006).

The spelling of 26004 in words is "twenty-six thousand, four".