26544 has 40 divisors (see below), whose sum is σ = 79360. Its totient is φ = 7488.

The previous prime is 26539. The next prime is 26557. The reversal of 26544 is 44562.

It is a happy number.

26544 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 26544.

It is a congruent number.

It is an unprimeable number.

26544 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 7 ways as a sum of consecutive naturals, for example, 297 + ... + 375.

It is an arithmetic number, because the mean of its divisors is an integer number (1984).

2²⁶⁵⁴⁴ is an apocalyptic number.

26544 is a gapful number since it is divisible by the number (24) 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 26544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39680).

26544 is an abundant number, since it is smaller than the sum of its proper divisors (52816).

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

26544 is a wasteful number, since it uses less digits than its factorization.

26544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 91 counting only the distinct ones).

The product of its digits is 960, while the sum is 21.

The square root of 26544 is about 162.9232948353. The cubic root of 26544 is about 29.8301513066.

Adding to 26544 its sum of digits (21), we get a triangular number (26565 = T₂₃₀).

The spelling of 26544 in words is "twenty-six thousand, five hundred forty-four".