10806966 has 64 divisors (see below), whose sum is σ = 25459200. Its totient is φ = 3392928.

The previous prime is 10806959. The next prime is 10806973. The reversal of 10806966 is 66960801.

It is an interprime number because it is at equal distance from previous prime (10806959) and next prime (10806973).

It is a self number, because there is not a number n which added to its sum of digits gives 10806966.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 104871 + ... + 104973.

It is an arithmetic number, because the mean of its divisors is an integer number (397800).

Almost surely, 2^10806966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10806966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12729600).

10806966 is an abundant number, since it is smaller than the sum of its proper divisors (14652234).

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

10806966 is a wasteful number, since it uses less digits than its factorization.

10806966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 10806966 is about 3287.3950173352. The cubic root of 10806966 is about 221.0894037108.

The spelling of 10806966 in words is "ten million, eight hundred six thousand, nine hundred sixty-six".