216824 has 8 divisors (see below), whose sum is σ = 406560. Its totient is φ = 108408.

The previous prime is 216803. The next prime is 216829. The reversal of 216824 is 428612.

It is a tau number, because it is divible by the number of its divisors (8).

It is a self number, because there is not a number n which added to its sum of digits gives 216824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13544 + ... + 13559.

It is an arithmetic number, because the mean of its divisors is an integer number (50820).

2²¹⁶⁸²⁴ is an apocalyptic number.

It is an amenable number.

216824 is a deficient number, since it is larger than the sum of its proper divisors (189736).

216824 is a wasteful number, since it uses less digits than its factorization.

216824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27109 (or 27105 counting only the distinct ones).

The product of its digits is 768, while the sum is 23.

The square root of 216824 is about 465.6436405665. The cubic root of 216824 is about 60.0761994826.

The spelling of 216824 in words is "two hundred sixteen thousand, eight hundred twenty-four".