216900096 has 80 divisors (see below), whose sum is σ = 660416064. Its totient is φ = 61968384.

The previous prime is 216900071. The next prime is 216900113. The reversal of 216900096 is 690009612.

It is a happy number.

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, 666 + ... + 20838.

Almost surely, 2^216900096 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 216900096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330208032).

216900096 is an abundant number, since it is smaller than the sum of its proper divisors (443515968).

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

216900096 is an equidigital number, since it uses as much as digits as its factorization.

216900096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20201 (or 20185 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 216900096 is about 14727.5285095633. The cubic root of 216900096 is about 600.8322672405.

The spelling of 216900096 in words is "two hundred sixteen million, nine hundred thousand, ninety-six".