26538 has 8 divisors (see below), whose sum is σ = 53088. Its totient is φ = 8844.

The previous prime is 26513. The next prime is 26539. The reversal of 26538 is 83562.

It is a sphenic number, since it is the product of 3 distinct primes.

26538 is an admirable number.

It is a Curzon number.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (26539) 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, 2206 + ... + 2217.

It is an arithmetic number, because the mean of its divisors is an integer number (6636).

2²⁶⁵³⁸ is an apocalyptic number.

26538 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (26544).

26538 is a wasteful number, since it uses less digits than its factorization.

26538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4428.

The product of its digits is 1440, while the sum is 24.

The square root of 26538 is about 162.9048802216. The cubic root of 26538 is about 29.8279035369.

Adding to 26538 its sum of digits (24), we get a palindrome (26562).

It can be divided in two parts, 265 and 38, that added together give a palindrome (303).

The spelling of 26538 in words is "twenty-six thousand, five hundred thirty-eight".