243824 has 30 divisors (see below), whose sum is σ = 551304. Its totient is φ = 104160.

The previous prime is 243809. The next prime is 243829. The reversal of 243824 is 428342.

243824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 243824.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 243824.

It is not an unprimeable number, because it can be changed into a prime (243829) by changing a digit.

243824 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 629 + ... + 939.

2²⁴³⁸²⁴ 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 243824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275652).

243824 is an abundant number, since it is smaller than the sum of its proper divisors (307480).

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

243824 is a wasteful number, since it uses less digits than its factorization.

243824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 320 counting only the distinct ones).

The product of its digits is 1536, while the sum is 23.

The square root of 243824 is about 493.7853784794. The cubic root of 243824 is about 62.4729696448.

The spelling of 243824 in words is "two hundred forty-three thousand, eight hundred twenty-four".