243120960 has 224 divisors, whose sum is σ = 903427200. Its totient is φ = 61378560.

The previous prime is 243120959. The next prime is 243120967. The reversal of 243120960 is 69021342.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243120967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163420 + ... + 164900.

Almost surely, 2^243120960 is an apocalyptic number.

243120960 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 243120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451713600).

243120960 is an abundant number, since it is smaller than the sum of its proper divisors (660306240).

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

243120960 is a wasteful number, since it uses less digits than its factorization.

243120960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 243120960 is about 15592.3365792302. The cubic root of 243120960 is about 624.1286716903.

The spelling of 243120960 in words is "two hundred forty-three million, one hundred twenty thousand, nine hundred sixty".