10008687 has 24 divisors (see below), whose sum is σ = 15225600. Its totient is φ = 5829408.

The previous prime is 10008667. The next prime is 10008727. The reversal of 10008687 is 78680001.

It is not a de Polignac number, because 10008687 - 2⁶ = 10008623 is a prime.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10008617) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 9114 + ... + 10152.

It is an arithmetic number, because the mean of its divisors is an integer number (634400).

Almost surely, 2^10008687 is an apocalyptic number.

10008687 is a deficient number, since it is larger than the sum of its proper divisors (5216913).

10008687 is a wasteful number, since it uses less digits than its factorization.

10008687 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 10008687 is about 3163.6508973020. The cubic root of 10008687 is about 215.5058361944.

Adding to 10008687 its reverse (78680001), we get a palindrome (88688688).

The spelling of 10008687 in words is "ten million, eight thousand, six hundred eighty-seven".