216000824 has 32 divisors (see below), whose sum is σ = 437520720. Its totient is φ = 99380736.

The previous prime is 216000803. The next prime is 216000859. The reversal of 216000824 is 428000612.

It is a self number, because there is not a number n which added to its sum of digits gives 216000824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31967 + ... + 38129.

Almost surely, 2^216000824 is an apocalyptic number.

It is an amenable number.

216000824 is an abundant number, since it is smaller than the sum of its proper divisors (221519896).

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

216000824 is a wasteful number, since it uses less digits than its factorization.

216000824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6519 (or 6515 counting only the distinct ones).

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

The square root of 216000824 is about 14696.9664897216. The cubic root of 216000824 is about 600.0007629620. Note that the first 3 decimals are identical.

The spelling of 216000824 in words is "two hundred sixteen million, eight hundred twenty-four", and thus it is an aban number.