10766 has 8 divisors (see below), whose sum is σ = 18480. Its totient is φ = 4608.

The previous prime is 10753. The next prime is 10771. The reversal of 10766 is 66701.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a congruent number.

It is an unprimeable number.

10766 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 371 + ... + 398.

It is an arithmetic number, because the mean of its divisors is an integer number (2310).

2¹⁰⁷⁶⁶ is an apocalyptic number.

10766 is a deficient number, since it is larger than the sum of its proper divisors (7714).

10766 is an equidigital number, since it uses as much as digits as its factorization.

10766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778.

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

The square root of 10766 is about 103.7593369293. The cubic root of 10766 is about 22.0809688541.

The spelling of 10766 in words is "ten thousand, seven hundred sixty-six".