26224 has 20 divisors (see below), whose sum is σ = 55800. Its totient is φ = 11840.

The previous prime is 26209. The next prime is 26227. The reversal of 26224 is 42262.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an Ulam number.

It is a d-powerful number, because it can be written as 2¹¹ + 6⁵ + 2¹³ + 2¹³ + 4² .

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 26198 and 26207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26227) 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 3 ways as a sum of consecutive naturals, for example, 102 + ... + 250.

It is an arithmetic number, because the mean of its divisors is an integer number (2790).

2²⁶²²⁴ 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 26224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27900).

26224 is an abundant number, since it is smaller than the sum of its proper divisors (29576).

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

26224 is a wasteful number, since it uses less digits than its factorization.

26224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 162 counting only the distinct ones).

The product of its digits is 192, while the sum is 16.

The square root of 26224 is about 161.9382598400. The cubic root of 26224 is about 29.7097943338.

Adding to 26224 its reverse (42262), we get a palindrome (68486).

It can be divided in two parts, 2 and 6224, that added together give a palindrome (6226).

The spelling of 26224 in words is "twenty-six thousand, two hundred twenty-four".