264224 has 24 divisors (see below), whose sum is σ = 544320. Its totient is φ = 126016.

The previous prime is 264221. The next prime is 264263. The reversal of 264224 is 422462.

It is a d-powerful number, because it can be written as 2 + 6 + 2³ + 4² + 2¹¹ + 4⁹ .

Its product of digits (768) is a multiple of the sum of its prime divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 264196 and 264205.

It is not an unprimeable number, because it can be changed into a prime (264221) 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 in 3 ways as a sum of consecutive naturals, for example, 557 + ... + 915.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2²⁶⁴²²⁴ 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 264224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272160).

264224 is an abundant number, since it is smaller than the sum of its proper divisors (280096).

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

264224 is a wasteful number, since it uses less digits than its factorization.

264224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 384 counting only the distinct ones).

The product of its digits is 768, while the sum is 20.

The square root of 264224 is about 514.0272366325. The cubic root of 264224 is about 64.1688250993.

Adding to 264224 its reverse (422462), we get a palindrome (686686).

The spelling of 264224 in words is "two hundred sixty-four thousand, two hundred twenty-four".