243360 has 108 divisors (see below), whose sum is σ = 899262. Its totient is φ = 59904.

The previous prime is 243343. The next prime is 243367. The reversal of 243360 is 63342.

243360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 104976 + 138384 = 324^2 + 372^2 .

It is a super-3 number, since 3×243360³ = 43238323335168000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (243367) by changing a digit.

243360 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, 18714 + ... + 18726.

2²⁴³³⁶⁰ is an apocalyptic number.

243360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449631).

243360 is an abundant number, since it is smaller than the sum of its proper divisors (655902).

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

243360 is a wasteful number, since it uses less digits than its factorization.

243360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 243360 is about 493.3153149863. The cubic root of 243360 is about 62.4333155429.

Subtracting from 243360 its sum of digits (18), we obtain a palindrome (243342).

The spelling of 243360 in words is "two hundred forty-three thousand, three hundred sixty".