10008936 has 72 divisors (see below), whose sum is σ = 31544370. Its totient is φ = 2858688.

The previous prime is 10008923. The next prime is 10008959. The reversal of 10008936 is 63980001.

It can be written as a sum of positive squares in only one way, i.e., 9922500 + 86436 = 3150^2 + 294^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 17 ways as a sum of consecutive naturals, for example, 2110 + ... + 4946.

Almost surely, 2^10008936 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 10008936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15772185).

10008936 is an abundant number, since it is smaller than the sum of its proper divisors (21535434).

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

10008936 is a wasteful number, since it uses less digits than its factorization.

10008936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2863 (or 2849 counting only the distinct ones).

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

The square root of 10008936 is about 3163.6902503248. The cubic root of 10008936 is about 215.5076233255.

Adding to 10008936 its reverse (63980001), we get a palindrome (73988937).

The spelling of 10008936 in words is "ten million, eight thousand, nine hundred thirty-six".