243261216 has 144 divisors (see below), whose sum is σ = 779321088. Its totient is φ = 71308800.

The previous prime is 243261203. The next prime is 243261233. The reversal of 243261216 is 612162342.

243261216 is a `hidden beast` number, since 2 + 4 + 32 + 612 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 243261216.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96970 + ... + 99446.

It is an arithmetic number, because the mean of its divisors is an integer number (5411952).

Almost surely, 2^243261216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243261216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389660544).

243261216 is an abundant number, since it is smaller than the sum of its proper divisors (536059872).

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

243261216 is a wasteful number, since it uses less digits than its factorization.

243261216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2535 (or 2524 counting only the distinct ones).

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

The square root of 243261216 is about 15596.8335247896. The cubic root of 243261216 is about 624.2486681493.

The spelling of 243261216 in words is "two hundred forty-three million, two hundred sixty-one thousand, two hundred sixteen".