10004208 has 80 divisors (see below), whose sum is σ = 27367296. Its totient is φ = 3144960.

The previous prime is 10004207. The next prime is 10004231. The reversal of 10004208 is 80240001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10004201) 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, 76303 + ... + 76433.

Almost surely, 2^10004208 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 10004208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13683648).

10004208 is an abundant number, since it is smaller than the sum of its proper divisors (17363088).

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

10004208 is a wasteful number, since it uses less digits than its factorization.

10004208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 10004208 is about 3162.9429334087. The cubic root of 10004208 is about 215.4736843026.

Adding to 10004208 its reverse (80240001), we get a palindrome (90244209).

The spelling of 10004208 in words is "ten million, four thousand, two hundred eight".