243936 has 108 divisors (see below), whose sum is σ = 871416. Its totient is φ = 63360.

The previous prime is 243931. The next prime is 243953. The reversal of 243936 is 639342.

243936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is a nialpdrome in base 12.

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 243936.

It is not an unprimeable number, because it can be changed into a prime (243931) by changing a digit.

243936 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 17 ways as a sum of consecutive naturals, for example, 22171 + ... + 22181.

2²⁴³⁹³⁶ 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 243936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435708).

243936 is an abundant number, since it is smaller than the sum of its proper divisors (627480).

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

243936 is a wasteful number, since it uses less digits than its factorization.

243936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 23 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 243936 is about 493.8987750542. The cubic root of 243936 is about 62.4825337860.

The spelling of 243936 in words is "two hundred forty-three thousand, nine hundred thirty-six".