216824256 has 336 divisors, whose sum is σ = 754014240. Its totient is φ = 60825600.

The previous prime is 216824227. The next prime is 216824281. The reversal of 216824256 is 652428612.

It is a happy number.

216824256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 216824256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3554466 + ... + 3554526.

It is an arithmetic number, because the mean of its divisors is an integer number (2244090).

Almost surely, 2^216824256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216824256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377007120).

216824256 is an abundant number, since it is smaller than the sum of its proper divisors (537189984).

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

216824256 is a wasteful number, since it uses less digits than its factorization.

216824256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 94 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 216824256 is about 14724.9535143579. The cubic root of 216824256 is about 600.7622312625.

The spelling of 216824256 in words is "two hundred sixteen million, eight hundred twenty-four thousand, two hundred fifty-six".