216818304 has 64 divisors (see below), whose sum is σ = 578340000. Its totient is φ = 71969792.

The previous prime is 216818281. The next prime is 216818311. The reversal of 216818304 is 403818612.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 102247 + ... + 104345.

Almost surely, 2^216818304 is an apocalyptic number.

216818304 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 216818304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289170000).

216818304 is an abundant number, since it is smaller than the sum of its proper divisors (361521696).

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

216818304 is a wasteful number, since it uses less digits than its factorization.

216818304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385 (or 2373 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 216818304 is about 14724.7514070697. The cubic root of 216818304 is about 600.7567340769.

The spelling of 216818304 in words is "two hundred sixteen million, eight hundred eighteen thousand, three hundred four".