243960 has 64 divisors (see below), whose sum is σ = 777600. Its totient is φ = 61056.

The previous prime is 243953. The next prime is 243973. The reversal of 243960 is 69342.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 2⁹ + 4⁸ + 9³ + 3¹¹ + 6² + 0 .

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 243960.

It is a congruent number.

It is an unprimeable number.

243960 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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2227 + ... + 2333.

It is an arithmetic number, because the mean of its divisors is an integer number (12150).

2²⁴³⁹⁶⁰ is an apocalyptic number.

243960 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 243960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388800).

243960 is an abundant number, since it is smaller than the sum of its proper divisors (533640).

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

243960 is a wasteful number, since it uses less digits than its factorization.

243960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 243960 is about 493.9230709331. The cubic root of 243960 is about 62.4845828640.

The spelling of 243960 in words is "two hundred forty-three thousand, nine hundred sixty".