26624 has 24 divisors (see below), whose sum is σ = 57330. Its totient is φ = 12288.

The previous prime is 26597. The next prime is 26627. The reversal of 26624 is 42662.

It can be written as a sum of positive squares in only one way, i.e., 25600 + 1024 = 160^2 + 32^2 .

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 26596 and 26605.

It is not an unprimeable number, because it can be changed into a prime (26627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2042 + ... + 2054.

26624 is a Friedman number, since it can be written as 26*2^(6+4), using all its digits and the basic arithmetic operations.

2²⁶⁶²⁴ 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 26624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28665).

26624 is an abundant number, since it is smaller than the sum of its proper divisors (30706).

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

26624 is an equidigital number, since it uses as much as digits as its factorization.

26624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35 (or 15 counting only the distinct ones).

The product of its digits is 576, while the sum is 20.

The square root of 26624 is about 163.1686244350. The cubic root of 26624 is about 29.8600892545.

It can be divided in two parts, 2662 and 4, that multiplied together give a cube (10648 = 22³).

The spelling of 26624 in words is "twenty-six thousand, six hundred twenty-four".