832161792 has 192 divisors, whose sum is σ = 2767564800. Its totient is φ = 216023040.

The previous prime is 832161779. The next prime is 832161809. The reversal of 832161792 is 297161238.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 832161792.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 472209 + ... + 473967.

It is an arithmetic number, because the mean of its divisors is an integer number (14414400).

Almost surely, 2^832161792 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 832161792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383782400).

832161792 is an abundant number, since it is smaller than the sum of its proper divisors (1935403008).

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

832161792 is a wasteful number, since it uses less digits than its factorization.

832161792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802 (or 1782 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 832161792 is about 28847.2146315723. The cubic root of 832161792 is about 940.5948370250.

The spelling of 832161792 in words is "eight hundred thirty-two million, one hundred sixty-one thousand, seven hundred ninety-two".