10688 has 14 divisors (see below), whose sum is σ = 21336. Its totient is φ = 5312.

The previous prime is 10687. The next prime is 10691. The reversal of 10688 is 88601.

It is a super-2 number, since 2×10688² = 228466688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20 + ... + 147.

It is an arithmetic number, because the mean of its divisors is an integer number (1524).

2¹⁰⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

10688 is a deficient number, since it is larger than the sum of its proper divisors (10648).

10688 is an equidigital number, since it uses as much as digits as its factorization.

10688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 10688 is about 103.3827838666. The cubic root of 10688 is about 22.0275137855.

The spelling of 10688 in words is "ten thousand, six hundred eighty-eight".