216126216 has 96 divisors (see below), whose sum is σ = 643032000. Its totient is φ = 65273472.

The previous prime is 216126191. The next prime is 216126221. The reversal of 216126216 is 612621612.

216126216 is a `hidden beast` number, since 21 + 6 + 12 + 621 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 216126216.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28030 + ... + 34898.

It is an arithmetic number, because the mean of its divisors is an integer number (6698250).

Almost surely, 2^216126216 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 216126216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321516000).

216126216 is an abundant number, since it is smaller than the sum of its proper divisors (426905784).

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

216126216 is a wasteful number, since it uses less digits than its factorization.

216126216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6923 (or 6916 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 216126216 is about 14701.2317851260. The cubic root of 216126216 is about 600.1168439110.

Adding to 216126216 its reverse (612621612), we get a palindrome (828747828).

The spelling of 216126216 in words is "two hundred sixteen million, one hundred twenty-six thousand, two hundred sixteen".