216006112 has 72 divisors (see below), whose sum is σ = 497367864. Its totient is φ = 92074752.

The previous prime is 216006107. The next prime is 216006137. The reversal of 216006112 is 211600612.

It is a self number, because there is not a number n which added to its sum of digits gives 216006112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 543898 + ... + 544294.

It is an arithmetic number, because the mean of its divisors is an integer number (6907887).

Almost surely, 2^216006112 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 216006112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248683932).

216006112 is an abundant number, since it is smaller than the sum of its proper divisors (281361752).

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

216006112 is a wasteful number, since it uses less digits than its factorization.

216006112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 216006112 is about 14697.1463896908. The cubic root of 216006112 is about 600.0056592059.

Adding to 216006112 its reverse (211600612), we get a palindrome (427606724).

The spelling of 216006112 in words is "two hundred sixteen million, six thousand, one hundred twelve".