10688306 has 8 divisors (see below), whose sum is σ = 16046364. Its totient is φ = 5339520.

The previous prime is 10688303. The next prime is 10688311. The reversal of 10688306 is 60388601.

It can be written as a sum of positive squares in 2 ways, for example, as 10297681 + 390625 = 3209^2 + 625^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-4 number, since 4×10688306⁴ (a number of 29 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10688303) 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 3 ways as a sum of consecutive naturals, for example, 3086 + ... + 5558.

Almost surely, 2^10688306 is an apocalyptic number.

10688306 is a deficient number, since it is larger than the sum of its proper divisors (5358058).

10688306 is a wasteful number, since it uses less digits than its factorization.

10688306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4636.

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 10688306 is about 3269.2974780524. The cubic root of 10688306 is about 220.2772400121.

The spelling of 10688306 in words is "ten million, six hundred eighty-eight thousand, three hundred six".