10688338 has 16 divisors (see below), whose sum is σ = 16853760. Its totient is φ = 5077296.

The previous prime is 10688323. The next prime is 10688339. The reversal of 10688338 is 83388601.

It is a super-2 number, since 2×10688338² = 228481138404488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 10688297 and 10688306.

It is not an unprimeable number, because it can be changed into a prime (10688339) 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 7 ways as a sum of consecutive naturals, for example, 1503 + ... + 4861.

It is an arithmetic number, because the mean of its divisors is an integer number (1053360).

Almost surely, 2^10688338 is an apocalyptic number.

10688338 is a deficient number, since it is larger than the sum of its proper divisors (6165422).

10688338 is a wasteful number, since it uses less digits than its factorization.

10688338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3441.

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 10688338 is about 3269.3023720666. The cubic root of 10688338 is about 220.2774598431.

It can be divided in two parts, 10688 and 338, that added together give a triangular number (11026 = T₁₄₈).

The spelling of 10688338 in words is "ten million, six hundred eighty-eight thousand, three hundred thirty-eight".