10676 has 12 divisors (see below), whose sum is σ = 19908. Its totient is φ = 4992.

The previous prime is 10667. The next prime is 10687. The reversal of 10676 is 67601.

10676 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

10676 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 5776 + 4900 = 76^2 + 70^2 .

It is a super-2 number, since 2×10676² = 227953952, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11 + ... + 146.

It is an arithmetic number, because the mean of its divisors is an integer number (1659).

It is an amenable number.

10676 is a deficient number, since it is larger than the sum of its proper divisors (9232).

10676 is a wasteful number, since it uses less digits than its factorization.

10676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 10676 is about 103.3247308247. The cubic root of 10676 is about 22.0192668683.

It can be divided in two parts, 10 and 676, that added together give a palindrome (686).

The spelling of 10676 in words is "ten thousand, six hundred seventy-six".