10768 has 10 divisors (see below), whose sum is σ = 20894. Its totient is φ = 5376.

The previous prime is 10753. The next prime is 10771. The reversal of 10768 is 86701.

10768 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in only one way, i.e., 8464 + 2304 = 92^2 + 48^2 .

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 321 + ... + 352.

2¹⁰⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

10768 is a deficient number, since it is larger than the sum of its proper divisors (10126).

10768 is an equidigital number, since it uses as much as digits as its factorization.

10768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 10768 is about 103.7689741686. The cubic root of 10768 is about 22.0823360967.

The spelling of 10768 in words is "ten thousand, seven hundred sixty-eight".