10006688 has 12 divisors (see below), whose sum is σ = 19700730. Its totient is φ = 5003328.

The previous prime is 10006663. The next prime is 10006699. The reversal of 10006688 is 88660001.

It can be written as a sum of positive squares in only one way, i.e., 9560464 + 446224 = 3092^2 + 668^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10006688.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156323 + ... + 156386.

Almost surely, 2^10006688 is an apocalyptic number.

It is an amenable number.

10006688 is a deficient number, since it is larger than the sum of its proper divisors (9694042).

10006688 is an equidigital number, since it uses as much as digits as its factorization.

10006688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312719 (or 312711 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 10006688 is about 3163.3349490688. The cubic root of 10006688 is about 215.4914878305.

Adding to 10006688 its reverse (88660001), we get a palindrome (98666689).

The spelling of 10006688 in words is "ten million, six thousand, six hundred eighty-eight".