8005004 has 48 divisors (see below), whose sum is σ = 17310720. Its totient is φ = 3162240.

The previous prime is 8005003. The next prime is 8005007. The reversal of 8005004 is 4005008.

It is not an unprimeable number, because it can be changed into a prime (8005003) 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 15 ways as a sum of consecutive naturals, for example, 21629 + ... + 21995.

It is an arithmetic number, because the mean of its divisors is an integer number (360640).

Almost surely, 2^8005004 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 8005004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8655360).

8005004 is an abundant number, since it is smaller than the sum of its proper divisors (9305716).

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

8005004 is a wasteful number, since it uses less digits than its factorization.

8005004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 8005004 is about 2829.3115770448. The cubic root of 8005004 is about 200.0416913086.

The spelling of 8005004 in words is "eight million, five thousand, four".