243600 has 120 divisors (see below), whose sum is σ = 922560. Its totient is φ = 53760.

The previous prime is 243589. The next prime is 243613. The reversal of 243600 is 6342.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 243600.

It is a congruent number.

It is an unprimeable number.

243600 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 23 ways as a sum of consecutive naturals, for example, 8386 + ... + 8414.

It is an arithmetic number, because the mean of its divisors is an integer number (7688).

2²⁴³⁶⁰⁰ is an apocalyptic number.

243600 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 243600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461280).

243600 is an abundant number, since it is smaller than the sum of its proper divisors (678960).

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

243600 is a wasteful number, since it uses less digits than its factorization.

243600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 243600 is about 493.5585071701. The cubic root of 243600 is about 62.4538325722.

Adding to 243600 its reverse (6342), we get a palindrome (249942).

The spelling of 243600 in words is "two hundred forty-three thousand, six hundred".