832489120 has 24 divisors (see below), whose sum is σ = 1966755924. Its totient is φ = 332995584.

The previous prime is 832489111. The next prime is 832489127. The reversal of 832489120 is 21984238.

It can be written as a sum of positive squares in 2 ways, for example, as 769063824 + 63425296 = 27732^2 + 7964^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 832489120.

It is not an unprimeable number, because it can be changed into a prime (832489127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2601369 + ... + 2601688.

Almost surely, 2^832489120 is an apocalyptic number.

832489120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

832489120 is an abundant number, since it is smaller than the sum of its proper divisors (1134266804).

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

832489120 is a wasteful number, since it uses less digits than its factorization.

832489120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5203072 (or 5203064 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 832489120 is about 28852.8875504688. The cubic root of 832489120 is about 940.7181474479.

The spelling of 832489120 in words is "eight hundred thirty-two million, four hundred eighty-nine thousand, one hundred twenty".