831528160 has 72 divisors (see below), whose sum is σ = 2071840680. Its totient is φ = 314502912.

The previous prime is 831528143. The next prime is 831528161. The reversal of 831528160 is 61825138.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (831528161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1589659 + ... + 1590181.

It is an arithmetic number, because the mean of its divisors is an integer number (28775565).

Almost surely, 2^831528160 is an apocalyptic number.

831528160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 831528160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035920340).

831528160 is an abundant number, since it is smaller than the sum of its proper divisors (1240312520).

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

831528160 is an equidigital number, since it uses as much as digits as its factorization.

831528160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 831528160 is about 28836.2299893727. The cubic root of 831528160 is about 940.3560443905.

The spelling of 831528160 in words is "eight hundred thirty-one million, five hundred twenty-eight thousand, one hundred sixty".