26000 has 40 divisors (see below), whose sum is σ = 67704. Its totient is φ = 9600.

The previous prime is 25999. The next prime is 26003. The reversal of 26000 is 62.

It can be written as a sum of positive squares in 4 ways, for example, as 4096 + 21904 = 64^2 + 148^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26003) 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, 1994 + ... + 2006.

2²⁶⁰⁰⁰ is an apocalyptic number.

26000 is a gapful number since it is divisible by the number (20) 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 26000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33852).

26000 is an abundant number, since it is smaller than the sum of its proper divisors (41704).

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

26000 is a wasteful number, since it uses less digits than its factorization.

26000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 26000 is about 161.2451549660. The cubic root of 26000 is about 29.6249606841.

Adding to 26000 its reverse (62), we get a palindrome (26062).

The spelling of 26000 in words is "twenty-six thousand".