8084384 has 96 divisors (see below), whose sum is σ = 21119616. Its totient is φ = 2949120.

The previous prime is 8084383. The next prime is 8084393. The reversal of 8084384 is 4834808.

It is not an unprimeable number, because it can be changed into a prime (8084383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41792 + ... + 41984.

It is an arithmetic number, because the mean of its divisors is an integer number (219996).

Almost surely, 2^8084384 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 8084384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10559808).

8084384 is an abundant number, since it is smaller than the sum of its proper divisors (13035232).

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

8084384 is a wasteful number, since it uses less digits than its factorization.

8084384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 8084384 is about 2843.3051190472. The cubic root of 8084384 is about 200.7007419363.

The spelling of 8084384 in words is "eight million, eighty-four thousand, three hundred eighty-four".