10646766 has 48 divisors (see below), whose sum is σ = 25081056. Its totient is φ = 3244608.

The previous prime is 10646761. The next prime is 10646767. The reversal of 10646766 is 66764601.

10646766 is a `hidden beast` number, since 1 + 0 + 646 + 7 + 6 + 6 = 666.

It is a super-2 number, since 2×10646766² = 226707252517512, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10646766.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10646761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40351 + ... + 40613.

It is an arithmetic number, because the mean of its divisors is an integer number (522522).

Almost surely, 2^10646766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10646766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12540528).

10646766 is an abundant number, since it is smaller than the sum of its proper divisors (14434290).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10646766 is a wasteful number, since it uses less digits than its factorization.

10646766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 10646766 is about 3262.9382464276. The cubic root of 10646766 is about 219.9915010491.

The spelling of 10646766 in words is "ten million, six hundred forty-six thousand, seven hundred sixty-six".