• 216^{2} = 46656 is the smallest square that contains exactly three digits '6'.

216 has 16 divisors (see below), whose sum is σ = 600. Its totient is φ = 72.

The previous prime is 211. The next prime is 223. The reversal of 216 is 612.

Adding to 216 its reverse (612), we get a palindrome (828).

It can be divided in two parts, 21 and 6, that added together give a cube (27 = 3^{3}).

216 = T_{3} + T_{4} + ... +
T_{10}.

The cubic root of 216 is 6.

It is a perfect power (a cube), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (3!)^{3}.

216 is nontrivially palindromic in base 5.

216 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

216 is an astonishing number since 216 = 6 + ... + 21.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

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

It is one of the 548 Lynch-Bell numbers.

216 is strictly pandigital in base 4.

It is a plaindrome in base 13 and base 14.

It is a nialpdrome in base 3, base 6, base 8, base 15 and base 16.

It is a zygodrome in base 3.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 198 and 207.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 216.

It is not an unprimeable number, because it can be changed into a prime (211) by changing a digit.

216 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 3 ways as a sum of consecutive naturals, for example, 71 + 72 + 73.

216 is a Friedman number, since it can be written as 6^(2+1), using all its digits and the basic arithmetic operations.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300).

216 is an abundant number, since it is smaller than the sum of its proper divisors (384).

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

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

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

The sum of its prime factors is 15 (or 5 counting only the distinct ones).

The product of its digits is 12, while the sum is 9.

The square root of 216 is about 14.6969384567.

The spelling of 216 in words is "two hundred sixteen", and thus it is an aban number.

• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.066 sec. • engine limits •