216999936 has 144 divisors (see below), whose sum is σ = 640310580. Its totient is φ = 70778880.

The previous prime is 216999929. The next prime is 216999941. The reversal of 216999936 is 639999612.

It can be written as a sum of positive squares in 2 ways, for example, as 178062336 + 38937600 = 13344^2 + 6240^2 .

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1124256 + ... + 1124448.

Almost surely, 2^216999936 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 216999936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320155290).

216999936 is an abundant number, since it is smaller than the sum of its proper divisors (423310644).

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

216999936 is a wasteful number, since it uses less digits than its factorization.

216999936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 259 counting only the distinct ones).

The product of its digits is 1417176, while the sum is 54.

The square root of 216999936 is about 14730.9176903545. The cubic root of 216999936 is about 600.9244416147.

The spelling of 216999936 in words is "two hundred sixteen million, nine hundred ninety-nine thousand, nine hundred thirty-six".