832223808 has 280 divisors, whose sum is σ = 2718483768. Its totient is φ = 250159104.

The previous prime is 832223803. The next prime is 832223809. The reversal of 832223808 is 808322238.

It can be written as a sum of positive squares in 4 ways, for example, as 19289664 + 812934144 = 4392^2 + 28512^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (832223801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3571660 + ... + 3571892.

Almost surely, 2^832223808 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 832223808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359241884).

832223808 is an abundant number, since it is smaller than the sum of its proper divisors (1886259960).

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

832223808 is a wasteful number, since it uses less digits than its factorization.

832223808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 832223808 is about 28848.2895160181. The cubic root of 832223808 is about 940.6182020649.

The spelling of 832223808 in words is "eight hundred thirty-two million, two hundred twenty-three thousand, eight hundred eight".