It is a congruent number.
26838 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
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).
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 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".