243624 has 16 divisors (see below), whose sum is σ = 609120. Its totient is φ = 81200.

The previous prime is 243623. The next prime is 243631. The reversal of 243624 is 426342.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 243624.

It is not an unprimeable number, because it can be changed into a prime (243623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5052 + ... + 5099.

It is an arithmetic number, because the mean of its divisors is an integer number (38070).

2²⁴³⁶²⁴ is an apocalyptic number.

243624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

243624 is an abundant number, since it is smaller than the sum of its proper divisors (365496).

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

243624 is a wasteful number, since it uses less digits than its factorization.

243624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10160 (or 10156 counting only the distinct ones).

The product of its digits is 1152, while the sum is 21.

The square root of 243624 is about 493.5828197983. The cubic root of 243624 is about 62.4558835338.

Adding to 243624 its reverse (426342), we get a palindrome (669966).

The spelling of 243624 in words is "two hundred forty-three thousand, six hundred twenty-four".