8329984 has 36 divisors (see below), whose sum is σ = 17913616. Its totient is φ = 3843072.

The previous prime is 8329969. The next prime is 8329987. The reversal of 8329984 is 4899238.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 8329984.

It is not an unprimeable number, because it can be changed into a prime (8329987) 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 3 ways as a sum of consecutive naturals, for example, 2077 + ... + 4579.

Almost surely, 2^8329984 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 8329984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8956808).

8329984 is an abundant number, since it is smaller than the sum of its proper divisors (9583632).

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

8329984 is a wasteful number, since it uses less digits than its factorization.

8329984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2532 (or 2518 counting only the distinct ones).

The product of its digits is 124416, while the sum is 43.

The square root of 8329984 is about 2886.1711660953. The cubic root of 8329984 is about 202.7129011168.

It can be divided in two parts, 832 and 9984, that added together give a square (10816 = 104²).

The spelling of 8329984 in words is "eight million, three hundred twenty-nine thousand, nine hundred eighty-four".