264824 has 16 divisors (see below), whose sum is σ = 567600. Its totient is φ = 113472.

The previous prime is 264811. The next prime is 264827. The reversal of 264824 is 428462.

It is a junction number, because it is equal to n+sod(n) for n = 264793 and 264802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264827) by changing a digit.

264824 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 2309 + ... + 2420.

It is an arithmetic number, because the mean of its divisors is an integer number (35475).

2²⁶⁴⁸²⁴ is an apocalyptic number.

It is an amenable number.

264824 is an abundant number, since it is smaller than the sum of its proper divisors (302776).

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

264824 is a wasteful number, since it uses less digits than its factorization.

264824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4742 (or 4738 counting only the distinct ones).

The product of its digits is 3072, while the sum is 26.

The square root of 264824 is about 514.6105323446. The cubic root of 264824 is about 64.2173599143.

The spelling of 264824 in words is "two hundred sixty-four thousand, eight hundred twenty-four".