10006766 has 32 divisors (see below), whose sum is σ = 18869760. Its totient is φ = 3866400.

The previous prime is 10006757. The next prime is 10006781. The reversal of 10006766 is 66760001.

10006766 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27695 + ... + 28053.

It is an arithmetic number, because the mean of its divisors is an integer number (589680).

Almost surely, 2^10006766 is an apocalyptic number.

10006766 is a deficient number, since it is larger than the sum of its proper divisors (8862994).

10006766 is a wasteful number, since it uses less digits than its factorization.

10006766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560.

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 10006766 is about 3163.3472778056. The cubic root of 10006766 is about 215.4920477324.

Adding to 10006766 its reverse (66760001), we get a palindrome (76766767).

The spelling of 10006766 in words is "ten million, six thousand, seven hundred sixty-six".