832161984 has 112 divisors (see below), whose sum is σ = 2259909120. Its totient is φ = 270167040.

The previous prime is 832161977. The next prime is 832162031. The reversal of 832161984 is 489161238.

It is a super-2 number, since 2×832161984² = 1384987135229632512, which contains 22 as substring.

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, 1258614 + ... + 1259274.

It is an arithmetic number, because the mean of its divisors is an integer number (20177760).

Almost surely, 2^832161984 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 832161984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129954560).

832161984 is an abundant number, since it is smaller than the sum of its proper divisors (1427747136).

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

832161984 is a wasteful number, since it uses less digits than its factorization.

832161984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 828 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 832161984 is about 28847.2179594497. The cubic root of 832161984 is about 940.5949093644.

The spelling of 832161984 in words is "eight hundred thirty-two million, one hundred sixty-one thousand, nine hundred eighty-four".