820840432 has 40 divisors (see below), whose sum is σ = 1686387600. Its totient is φ = 385961472.

The previous prime is 820840411. The next prime is 820840463. The reversal of 820840432 is 234048028.

820840432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 820840394 and 820840403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31794 + ... + 51502.

It is an arithmetic number, because the mean of its divisors is an integer number (42159690).

Almost surely, 2^820840432 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 820840432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843193800).

820840432 is an abundant number, since it is smaller than the sum of its proper divisors (865547168).

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

820840432 is a wasteful number, since it uses less digits than its factorization.

820840432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19873 (or 19867 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 820840432 is about 28650.3129476800. The cubic root of 820840432 is about 936.3098238960.

The spelling of 820840432 in words is "eight hundred twenty million, eight hundred forty thousand, four hundred thirty-two".