243013680 has 240 divisors, whose sum is σ = 1004727360. Its totient is φ = 51259392.

The previous prime is 243013679. The next prime is 243013697. The reversal of 243013680 is 86310342.

It is a happy number.

243013680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63666 + ... + 67374.

It is an arithmetic number, because the mean of its divisors is an integer number (4186364).

Almost surely, 2^243013680 is an apocalyptic number.

243013680 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 243013680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502363680).

243013680 is an abundant number, since it is smaller than the sum of its proper divisors (761713680).

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

243013680 is a wasteful number, since it uses less digits than its factorization.

243013680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3748 (or 3739 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 243013680 is about 15588.8960481491. The cubic root of 243013680 is about 624.0368567974.

It can be divided in two parts, 2430 and 13680, that added together give a triangular number (16110 = T₁₇₉).

The spelling of 243013680 in words is "two hundred forty-three million, thirteen thousand, six hundred eighty".