26144 has 24 divisors (see below), whose sum is σ = 55440. Its totient is φ = 12096.

The previous prime is 26141. The next prime is 26153. The reversal of 26144 is 44162.

26144 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It is an Ulam number.

Its product of digits (192) is a multiple of the sum of its prime divisors (64).

It is a nialpdrome in base 13 and base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 26144.

It is not an unprimeable number, because it can be changed into a prime (26141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 587 + ... + 629.

It is an arithmetic number, because the mean of its divisors is an integer number (2310).

2²⁶¹⁴⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27720).

26144 is an abundant number, since it is smaller than the sum of its proper divisors (29296).

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

26144 is a wasteful number, since it uses less digits than its factorization.

26144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 64 counting only the distinct ones).

The product of its digits is 192, while the sum is 17.

The square root of 26144 is about 161.6910634513. The cubic root of 26144 is about 29.6795522584.

Subtracting from 26144 its product of digits (192), we obtain a palindrome (25952).

The spelling of 26144 in words is "twenty-six thousand, one hundred forty-four".