10006689 has 16 divisors (see below), whose sum is σ = 16634880. Its totient is φ = 5198160.

The previous prime is 10006663. The next prime is 10006699. The reversal of 10006689 is 98660001.

It is not a de Polignac number, because 10006689 - 2⁵ = 10006657 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10006649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21429 + ... + 21890.

It is an arithmetic number, because the mean of its divisors is an integer number (1039680).

Almost surely, 2^10006689 is an apocalyptic number.

It is an amenable number.

10006689 is a deficient number, since it is larger than the sum of its proper divisors (6628191).

10006689 is a wasteful number, since it uses less digits than its factorization.

10006689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43340.

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 10006689 is about 3163.3351071298. The cubic root of 10006689 is about 215.4914950087.

The spelling of 10006689 in words is "ten million, six thousand, six hundred eighty-nine".