12664116 has 36 divisors (see below), whose sum is σ = 33896772. Its totient is φ = 3972864.

The previous prime is 12664109. The next prime is 12664117. The reversal of 12664116 is 61146621.

12664116 is a `hidden beast` number, since 1 + 2 + 6 + 641 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10692900 + 1971216 = 3270^2 + 1404^2 .

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

It is a super-2 number, since 2×12664116² = 320759668122912, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12664116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12664117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9735 + ... + 10958.

It is an arithmetic number, because the mean of its divisors is an integer number (941577).

Almost surely, 2^12664116 is an apocalyptic number.

It is an amenable number.

12664116 is an abundant number, since it is smaller than the sum of its proper divisors (21232656).

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

12664116 is a wasteful number, since it uses less digits than its factorization.

12664116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20720 (or 20715 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 12664116 is about 3558.6677282376. The cubic root of 12664116 is about 233.0907074361.

It can be divided in two parts, 12 and 664116, that added together give a triangular number (664128 = T₁₁₅₂).

The spelling of 12664116 in words is "twelve million, six hundred sixty-four thousand, one hundred sixteen".