10666116 has 36 divisors (see below), whose sum is σ = 27272700. Its totient is φ = 3514368.

The previous prime is 10666093. The next prime is 10666129. The reversal of 10666116 is 61166601.

It can be written as a sum of positive squares in 2 ways, for example, as 3048516 + 7617600 = 1746^2 + 2760^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10666116² = 227532061050912, 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 10666116.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1540 + ... + 4868.

It is an arithmetic number, because the mean of its divisors is an integer number (757575).

Almost surely, 2^10666116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10666116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13636350).

10666116 is an abundant number, since it is smaller than the sum of its proper divisors (16606584).

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

10666116 is a wasteful number, since it uses less digits than its factorization.

10666116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3428 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10666116 is about 3265.9020193509. The cubic root of 10666116 is about 220.1246951501.

The spelling of 10666116 in words is "ten million, six hundred sixty-six thousand, one hundred sixteen".