12166544 has 40 divisors (see below), whose sum is σ = 26274360. Its totient is φ = 5419008.

The previous prime is 12166537. The next prime is 12166547. The reversal of 12166544 is 44566121.

It can be written as a sum of positive squares in 4 ways, for example, as 1849600 + 10316944 = 1360^2 + 3212^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (12166547) 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 7 ways as a sum of consecutive naturals, for example, 5024 + ... + 7040.

It is an arithmetic number, because the mean of its divisors is an integer number (656859).

Almost surely, 2^12166544 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 12166544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13137180).

12166544 is an abundant number, since it is smaller than the sum of its proper divisors (14107816).

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

12166544 is a wasteful number, since it uses less digits than its factorization.

12166544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2067 (or 2061 counting only the distinct ones).

The product of its digits is 5760, while the sum is 29.

The square root of 12166544 is about 3488.0573389782. The cubic root of 12166544 is about 229.9971266182.

The spelling of 12166544 in words is "twelve million, one hundred sixty-six thousand, five hundred forty-four".