216811200 has 168 divisors, whose sum is σ = 753447312. Its totient is φ = 54394880.

The previous prime is 216811193. The next prime is 216811201. The reversal of 216811200 is 2118612.

It is not an unprimeable number, because it can be changed into a prime (216811201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80272 + ... + 82928.

Almost surely, 2^216811200 is an apocalyptic number.

216811200 is a gapful number since it is divisible by the number (20) 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 216811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376723656).

216811200 is an abundant number, since it is smaller than the sum of its proper divisors (536636112).

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

216811200 is a wasteful number, since it uses less digits than its factorization.

216811200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2699 (or 2684 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 216811200 is about 14724.5101786104. The cubic root of 216811200 is about 600.7501727882.

Adding to 216811200 its reverse (2118612), we get a palindrome (218929812).

The spelling of 216811200 in words is "two hundred sixteen million, eight hundred eleven thousand, two hundred".