26388 has 18 divisors (see below), whose sum is σ = 66794. Its totient is φ = 8784.

The previous prime is 26387. The next prime is 26393. The reversal of 26388 is 88362.

It can be written as a sum of positive squares in only one way, i.e., 26244 + 144 = 162^2 + 12^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26387) 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 5 ways as a sum of consecutive naturals, for example, 331 + ... + 402.

2²⁶³⁸⁸ is an apocalyptic number.

It is an amenable number.

26388 is an abundant number, since it is smaller than the sum of its proper divisors (40406).

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

26388 is a wasteful number, since it uses less digits than its factorization.

26388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 738 counting only the distinct ones).

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

The square root of 26388 is about 162.4438364482. The cubic root of 26388 is about 29.7715988434.

It can be divided in two parts, 263 and 88, that added together give a triangular number (351 = T₂₆).

The spelling of 26388 in words is "twenty-six thousand, three hundred eighty-eight".