832672960 has 112 divisors (see below), whose sum is σ = 2284683264. Its totient is φ = 283143168.

The previous prime is 832672921. The next prime is 832672993. The reversal of 832672960 is 69276238.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 283017 + ... + 285943.

Almost surely, 2^832672960 is an apocalyptic number.

832672960 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 832672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142341632).

832672960 is an abundant number, since it is smaller than the sum of its proper divisors (1452010304).

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

832672960 is a wasteful number, since it uses less digits than its factorization.

832672960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3078 (or 3068 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 832672960 is about 28856.0731909246. The cubic root of 832672960 is about 940.7873891518.

The spelling of 832672960 in words is "eight hundred thirty-two million, six hundred seventy-two thousand, nine hundred sixty".