8328384 has 84 divisors (see below), whose sum is σ = 25161240. Its totient is φ = 2626560.

The previous prime is 8328377. The next prime is 8328389. The reversal of 8328384 is 4838238.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (8328389) 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 11 ways as a sum of consecutive naturals, for example, 10564 + ... + 11324.

Almost surely, 2^8328384 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 8328384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12580620).

8328384 is an abundant number, since it is smaller than the sum of its proper divisors (16832856).

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

8328384 is a wasteful number, since it uses less digits than its factorization.

8328384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 785 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 8328384 is about 2885.8939689462. The cubic root of 8328384 is about 202.6999214436.

It can be divided in two parts, 832 and 8384, that added together give a square (9216 = 96²).

The spelling of 8328384 in words is "eight million, three hundred twenty-eight thousand, three hundred eighty-four".