8004004 has 12 divisors (see below), whose sum is σ = 14058828. Its totient is φ = 3987200.

The previous prime is 8003987. The next prime is 8004011. The reversal of 8004004 is 4004008.

8004004 = 8² + 9² + ... + 288².

It can be written as a sum of positive squares in 2 ways, for example, as 2244004 + 5760000 = 1498^2 + 2400^2 .

8004004 is a modest number, since divided by 4004 gives 8 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2437 + ... + 4684.

It is an arithmetic number, because the mean of its divisors is an integer number (1171569).

Almost surely, 2^8004004 is an apocalyptic number.

It is an amenable number.

8004004 is a deficient number, since it is larger than the sum of its proper divisors (6054824).

8004004 is a wasteful number, since it uses less digits than its factorization.

8004004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7406 (or 7404 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 8004004 is about 2829.1348500911. The cubic root of 8004004 is about 200.0333611015.

The spelling of 8004004 in words is "eight million, four thousand, four".