90004008 has 16 divisors (see below), whose sum is σ = 225010080. Its totient is φ = 30001328.

The previous prime is 90003997. The next prime is 90004021. The reversal of 90004008 is 80040009.

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 3 ways as a sum of consecutive naturals, for example, 1875060 + ... + 1875107.

It is an arithmetic number, because the mean of its divisors is an integer number (14063130).

Almost surely, 2^90004008 is an apocalyptic number.

It is an amenable number.

90004008 is an abundant number, since it is smaller than the sum of its proper divisors (135006072).

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

90004008 is a wasteful number, since it uses less digits than its factorization.

90004008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3750176 (or 3750172 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 90004008 is about 9487.0442183011. The cubic root of 90004008 is about 448.1471269533.

The spelling of 90004008 in words is "ninety million, four thousand, eight".