13166120 has 64 divisors (see below), whose sum is σ = 33747840. Its totient is φ = 4576000.

The previous prime is 13166093. The next prime is 13166123. The reversal of 13166120 is 2166131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13166092 and 13166101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13166123) 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, 9470 + ... + 10770.

It is an arithmetic number, because the mean of its divisors is an integer number (527310).

Almost surely, 2^13166120 is an apocalyptic number.

13166120 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 13166120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16873920).

13166120 is an abundant number, since it is smaller than the sum of its proper divisors (20581720).

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

13166120 is a wasteful number, since it uses less digits than its factorization.

13166120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 13166120 is about 3628.5148477028. The cubic root of 13166120 is about 236.1307807169.

The spelling of 13166120 in words is "thirteen million, one hundred sixty-six thousand, one hundred twenty".