216563216 has 80 divisors (see below), whose sum is σ = 471398400. Its totient is φ = 95889024.

The previous prime is 216563209. The next prime is 216563219. The reversal of 216563216 is 612365612.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (216563219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 328295 + ... + 328953.

It is an arithmetic number, because the mean of its divisors is an integer number (5892480).

Almost surely, 2^216563216 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 216563216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235699200).

216563216 is an abundant number, since it is smaller than the sum of its proper divisors (254835184).

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

216563216 is a wasteful number, since it uses less digits than its factorization.

216563216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 750 counting only the distinct ones).

The product of its digits is 12960, while the sum is 32.

The square root of 216563216 is about 14716.0869799006. The cubic root of 216563216 is about 600.5210436878.

The spelling of 216563216 in words is "two hundred sixteen million, five hundred sixty-three thousand, two hundred sixteen".