10688887 has 16 divisors (see below), whose sum is σ = 12384000. Its totient is φ = 9123840.

The previous prime is 10688863. The next prime is 10688891. The reversal of 10688887 is 78888601.

It is not a de Polignac number, because 10688887 - 2¹⁵ = 10656119 is a prime.

It is a super-2 number, since 2×10688887² = 228504610597538, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10688807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41463 + ... + 41719.

It is an arithmetic number, because the mean of its divisors is an integer number (774000).

Almost surely, 2^10688887 is an apocalyptic number.

10688887 is a deficient number, since it is larger than the sum of its proper divisors (1695113).

10688887 is a wasteful number, since it uses less digits than its factorization.

10688887 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486.

The product of its (nonzero) digits is 172032, while the sum is 46.

The square root of 10688887 is about 3269.3863338553. The cubic root of 10688887 is about 220.2812312513.

The spelling of 10688887 in words is "ten million, six hundred eighty-eight thousand, eight hundred eighty-seven".