843993216 has 192 divisors, whose sum is σ = 2735762400. Its totient is φ = 254039040.

The previous prime is 843993181. The next prime is 843993263. The reversal of 843993216 is 612399348.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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

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, 5664310 + ... + 5664458.

Almost surely, 2^843993216 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 843993216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367881200).

843993216 is an abundant number, since it is smaller than the sum of its proper divisors (1891769184).

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

843993216 is a wasteful number, since it uses less digits than its factorization.

843993216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 165 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 843993216 is about 29051.5613349782. The cubic root of 843993216 is about 945.0315736490.

The spelling of 843993216 in words is "eight hundred forty-three million, nine hundred ninety-three thousand, two hundred sixteen".