8004084 has 24 divisors (see below), whose sum is σ = 20374368. Its totient is φ = 2425440.

The previous prime is 8004083. The next prime is 8004091. The reversal of 8004084 is 4804008.

8004084 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8004083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30187 + ... + 30450.

It is an arithmetic number, because the mean of its divisors is an integer number (848932).

Almost surely, 2^8004084 is an apocalyptic number.

It is an amenable number.

8004084 is an abundant number, since it is smaller than the sum of its proper divisors (12370284).

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

8004084 is a wasteful number, since it uses less digits than its factorization.

8004084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60655 (or 60653 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 8004084 is about 2829.1489886537. The cubic root of 8004084 is about 200.0340275436.

It can be divided in two parts, 800 and 4084, that added together give a palindrome (4884).

The spelling of 8004084 in words is "eight million, four thousand, eighty-four".