13666120 has 64 divisors (see below), whose sum is σ = 33974640. Its totient is φ = 4915200.

The previous prime is 13666099. The next prime is 13666123. The reversal of 13666120 is 2166631.

It can be written as a sum of positive squares in 8 ways, for example, as 2815684 + 10850436 = 1678^2 + 3294^2 .

It is not an unprimeable number, because it can be changed into a prime (13666123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21000 + ... + 21640.

Almost surely, 2^13666120 is an apocalyptic number.

13666120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13666120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16987320).

13666120 is an abundant number, since it is smaller than the sum of its proper divisors (20308520).

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

13666120 is a wasteful number, since it uses less digits than its factorization.

13666120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 13666120 is about 3696.7715644870. The cubic root of 13666120 is about 239.0828421467.

The spelling of 13666120 in words is "thirteen million, six hundred sixty-six thousand, one hundred twenty".