26838 has 32 divisors (see below), whose sum is σ = 69120. Its totient is φ = 7560.

The previous prime is 26833. The next prime is 26839. The reversal of 26838 is 83862.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26833) by changing a digit.

26838 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343 + ... + 413.

It is an arithmetic number, because the mean of its divisors is an integer number (2160).

2²⁶⁸³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34560).

26838 is an abundant number, since it is smaller than the sum of its proper divisors (42282).

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

26838 is a wasteful number, since it uses less digits than its factorization.

26838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 83 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 26838 is about 163.8230752977. The cubic root of 26838 is about 29.9398795984.

The spelling of 26838 in words is "twenty-six thousand, eight hundred thirty-eight".