216336384 has 216 divisors, whose sum is σ = 693864990. Its totient is φ = 64880640.

The previous prime is 216336331. The next prime is 216336389. The reversal of 216336384 is 483633612.

216336384 is a `hidden beast` number, since 2 + 16 + 3 + 3 + 638 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 188457984 + 27878400 = 13728^2 + 5280^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216336389) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2230224 + ... + 2230320.

Almost surely, 2^216336384 is an apocalyptic number.

216336384 is a gapful number since it is divisible by the number (24) 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 216336384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346932495).

216336384 is an abundant number, since it is smaller than the sum of its proper divisors (477528606).

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

216336384 is a wasteful number, since it uses less digits than its factorization.

216336384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 113 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 216336384 is about 14708.3780207064. The cubic root of 216336384 is about 600.3113051206.

Adding to 216336384 its reverse (483633612), we get a palindrome (699969996).

The spelling of 216336384 in words is "two hundred sixteen million, three hundred thirty-six thousand, three hundred eighty-four".