18004008 has 64 divisors (see below), whose sum is σ = 50181120. Its totient is φ = 5336000.

The previous prime is 18003991. The next prime is 18004013. The reversal of 18004008 is 80040081.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11683 + ... + 13133.

It is an arithmetic number, because the mean of its divisors is an integer number (784080).

Almost surely, 2^18004008 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 18004008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25090560).

18004008 is an abundant number, since it is smaller than the sum of its proper divisors (32177112).

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

18004008 is a wasteful number, since it uses less digits than its factorization.

18004008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 18004008 is about 4243.1130081580. The cubic root of 18004008 is about 262.0935897023.

Adding to 18004008 its reverse (80040081), we get a palindrome (98044089).

The spelling of 18004008 in words is "eighteen million, four thousand, eight".