10688825 has 24 divisors (see below), whose sum is σ = 15320448. Its totient is φ = 7246080.

The previous prime is 10688809. The next prime is 10688827. The reversal of 10688825 is 52888601.

It is not a de Polignac number, because 10688825 - 2⁴ = 10688809 is a prime.

It is a super-2 number, since 2×10688825² = 228501959761250, which contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10688827) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 17729 + ... + 18321.

It is an arithmetic number, because the mean of its divisors is an integer number (638352).

Almost surely, 2^10688825 is an apocalyptic number.

It is an amenable number.

10688825 is a deficient number, since it is larger than the sum of its proper divisors (4631623).

10688825 is a wasteful number, since it uses less digits than its factorization.

10688825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 38.

The square root of 10688825 is about 3269.3768519398. The cubic root of 10688825 is about 220.2808053428.

The spelling of 10688825 in words is "ten million, six hundred eighty-eight thousand, eight hundred twenty-five".