13667120 has 80 divisors (see below), whose sum is σ = 33881760. Its totient is φ = 5117952.

The previous prime is 13667117. The next prime is 13667123. The reversal of 13667120 is 2176631.

It is an interprime number because it is at equal distance from previous prime (13667117) and next prime (13667123).

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 13667120.

It is not an unprimeable number, because it can be changed into a prime (13667123) 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, 99692 + ... + 99828.

It is an arithmetic number, because the mean of its divisors is an integer number (423522).

Almost surely, 2^13667120 is an apocalyptic number.

13667120 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 13667120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16940880).

13667120 is an abundant number, since it is smaller than the sum of its proper divisors (20214640).

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

13667120 is a wasteful number, since it uses less digits than its factorization.

13667120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 13667120 is about 3696.9068151632. The cubic root of 13667120 is about 239.0886735266.

The spelling of 13667120 in words is "thirteen million, six hundred sixty-seven thousand, one hundred twenty".