216808 has 16 divisors (see below), whose sum is σ = 417060. Its totient is φ = 105600.

The previous prime is 216803. The next prime is 216829. The reversal of 216808 is 808612.

It can be written as a sum of positive squares in 2 ways, for example, as 213444 + 3364 = 462^2 + 58^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216803) by changing a digit.

216808 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, 3 + ... + 658.

2²¹⁶⁸⁰⁸ is an apocalyptic number.

It is an amenable number.

216808 is a deficient number, since it is larger than the sum of its proper divisors (200252).

216808 is a wasteful number, since it uses less digits than its factorization.

216808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 216808 is about 465.6264597293. The cubic root of 216808 is about 60.0747217206.

It can be divided in two parts, 216 and 808, that added together give a 10-th power (1024 = 2¹⁰).

The spelling of 216808 in words is "two hundred sixteen thousand, eight hundred eight".