816224256 has 192 divisors, whose sum is σ = 2506140000. Its totient is φ = 262176768.

The previous prime is 816224191. The next prime is 816224261. The reversal of 816224256 is 652422618.

It is a happy number.

816224256 is a `hidden beast` number, since 8 + 1 + 622 + 4 + 25 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 816224256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1603330 + ... + 1603838.

Almost surely, 2^816224256 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 816224256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253070000).

816224256 is an abundant number, since it is smaller than the sum of its proper divisors (1689915744).

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

816224256 is a wasteful number, since it uses less digits than its factorization.

816224256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 543 counting only the distinct ones).

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

The square root of 816224256 is about 28569.6387096512. The cubic root of 816224256 is about 934.5513422217.

The spelling of 816224256 in words is "eight hundred sixteen million, two hundred twenty-four thousand, two hundred fifty-six".