10009638 has 24 divisors (see below), whose sum is σ = 21762000. Its totient is φ = 3325104.

The previous prime is 10009627. The next prime is 10009679. The reversal of 10009638 is 83690001.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5688 + ... + 7236.

It is an arithmetic number, because the mean of its divisors is an integer number (906750).

Almost surely, 2^10009638 is an apocalyptic number.

10009638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

10009638 is an abundant number, since it is smaller than the sum of its proper divisors (11752362).

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

10009638 is a wasteful number, since it uses less digits than its factorization.

10009638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10009638 is about 3163.8011947656. The cubic root of 10009638 is about 215.5126615838.

Adding to 10009638 its reverse (83690001), we get a palindrome (93699639).

The spelling of 10009638 in words is "ten million, nine thousand, six hundred thirty-eight".