832568960 has 64 divisors (see below), whose sum is σ = 2038969800. Its totient is φ = 324894720.

The previous prime is 832568929. The next prime is 832568987. The reversal of 832568960 is 69865238.

It is a happy number.

832568960 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 664814656 + 167754304 = 25784^2 + 12952^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10376 + ... + 42104.

Almost surely, 2^832568960 is an apocalyptic number.

832568960 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 832568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019484900).

832568960 is an abundant number, since it is smaller than the sum of its proper divisors (1206400840).

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

832568960 is a wasteful number, since it uses less digits than its factorization.

832568960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31789 (or 31777 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 47.

The square root of 832568960 is about 28854.2710876570. The cubic root of 832568960 is about 940.7482197272.

The spelling of 832568960 in words is "eight hundred thirty-two million, five hundred sixty-eight thousand, nine hundred sixty".