218016 has 36 divisors (see below), whose sum is σ = 620802. Its totient is φ = 72576.

The previous prime is 218003. The next prime is 218021. The reversal of 218016 is 610812.

Added to its reverse (610812) it gives a triangular number (828828 = T₁₂₈₇).

It can be written as a sum of positive squares in only one way, i.e., 176400 + 41616 = 420^2 + 204^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 218016.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 218016.

It is an unprimeable number.

218016 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 91 + ... + 666.

2²¹⁸⁰¹⁶ 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 218016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310401).

218016 is an abundant number, since it is smaller than the sum of its proper divisors (402786).

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

218016 is a wasteful number, since it uses less digits than its factorization.

218016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 218016 is about 466.9218350002. The cubic root of 218016 is about 60.1860889186.

Adding to 218016 its reverse (610812), we get a palindrome (828828).

The spelling of 218016 in words is "two hundred eighteen thousand, sixteen".