820909232 has 80 divisors (see below), whose sum is σ = 1919272992. Its totient is φ = 335093760.

The previous prime is 820909207. The next prime is 820909253. The reversal of 820909232 is 232909028.

It is a junction number, because it is equal to n+sod(n) for n = 820909192 and 820909201.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 79808 + ... + 89504.

Almost surely, 2^820909232 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 820909232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959636496).

820909232 is an abundant number, since it is smaller than the sum of its proper divisors (1098363760).

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

820909232 is a wasteful number, since it uses less digits than its factorization.

820909232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9766 (or 9760 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 820909232 is about 28651.5136074868. The cubic root of 820909232 is about 936.3359825799.

The spelling of 820909232 in words is "eight hundred twenty million, nine hundred nine thousand, two hundred thirty-two".