8040384 has 168 divisors, whose sum is σ = 26627328. Its totient is φ = 2384640.

The previous prime is 8040379. The next prime is 8040391. The reversal of 8040384 is 4830408.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 171049 + ... + 171095.

It is an arithmetic number, because the mean of its divisors is an integer number (158496).

Almost surely, 2^8040384 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 8040384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13313664).

8040384 is an abundant number, since it is smaller than the sum of its proper divisors (18586944).

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

8040384 is a wasteful number, since it uses less digits than its factorization.

8040384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 8040384 is about 2835.5570881222. The cubic root of 8040384 is about 200.3359686427.

8040384 divided by its sum of digits (27) gives a palindrome (297792).

The spelling of 8040384 in words is "eight million, forty thousand, three hundred eighty-four".