832440920 has 64 divisors (see below), whose sum is σ = 1999468800. Its totient is φ = 310988160.

The previous prime is 832440919. The next prime is 832440929. The reversal of 832440920 is 29044238.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (832440929) 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 15 ways as a sum of consecutive naturals, for example, 46247 + ... + 61673.

It is an arithmetic number, because the mean of its divisors is an integer number (31241700).

Almost surely, 2^832440920 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 832440920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999734400).

832440920 is an abundant number, since it is smaller than the sum of its proper divisors (1167027880).

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

832440920 is a wasteful number, since it uses less digits than its factorization.

832440920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15528 (or 15524 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 832440920 is about 28852.0522666933. The cubic root of 832440920 is about 940.6999916591.

The spelling of 832440920 in words is "eight hundred thirty-two million, four hundred forty thousand, nine hundred twenty".