216832896 has 128 divisors (see below), whose sum is σ = 731462400. Its totient is φ = 61945344.

The previous prime is 216832871. The next prime is 216832901. The reversal of 216832896 is 698238612.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19711 + ... + 28673.

It is an arithmetic number, because the mean of its divisors is an integer number (5714550).

Almost surely, 2^216832896 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 216832896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365731200).

216832896 is an abundant number, since it is smaller than the sum of its proper divisors (514629504).

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

216832896 is an equidigital number, since it uses as much as digits as its factorization.

216832896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8993 (or 8975 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 216832896 is about 14725.2468909693. The cubic root of 216832896 is about 600.7702108690.

The spelling of 216832896 in words is "two hundred sixteen million, eight hundred thirty-two thousand, eight hundred ninety-six".