216768 has 28 divisors (see below), whose sum is σ = 574040. Its totient is φ = 72192.

The previous prime is 216761. The next prime is 216779. The reversal of 216768 is 867612.

It is a happy number.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (216761) by changing a digit.

216768 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, 373 + ... + 756.

2²¹⁶⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

216768 is an abundant number, since it is smaller than the sum of its proper divisors (357272).

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

216768 is a wasteful number, since it uses less digits than its factorization.

216768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1134 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 216768 is about 465.5835048624. The cubic root of 216768 is about 60.0710269974.

The spelling of 216768 in words is "two hundred sixteen thousand, seven hundred sixty-eight".