10906688 has 28 divisors (see below), whose sum is σ = 23309580. Its totient is φ = 5033472.

The previous prime is 10906657. The next prime is 10906733. The reversal of 10906688 is 88660901.

It can be written as a sum of positive squares in 2 ways, for example, as 2795584 + 8111104 = 1672^2 + 2848^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5723 + ... + 7386.

It is an arithmetic number, because the mean of its divisors is an integer number (832485).

Almost surely, 2^10906688 is an apocalyptic number.

It is an amenable number.

10906688 is an abundant number, since it is smaller than the sum of its proper divisors (12402892).

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

10906688 is a wasteful number, since it uses less digits than its factorization.

10906688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13134 (or 13124 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 10906688 is about 3302.5275169179. The cubic root of 10906688 is about 221.7673617421.

The spelling of 10906688 in words is "ten million, nine hundred six thousand, six hundred eighty-eight".