13867120 has 40 divisors (see below), whose sum is σ = 32591664. Its totient is φ = 5486592.

The previous prime is 13867111. The next prime is 13867127. The reversal of 13867120 is 2176831.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13867127) 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, 6867 + ... + 8653.

Almost surely, 2^13867120 is an apocalyptic number.

13867120 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 13867120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16295832).

13867120 is an abundant number, since it is smaller than the sum of its proper divisors (18724544).

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

13867120 is a wasteful number, since it uses less digits than its factorization.

13867120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1897 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 13867120 is about 3723.8582142719. The cubic root of 13867120 is about 240.2492780327.

The spelling of 13867120 in words is "thirteen million, eight hundred sixty-seven thousand, one hundred twenty".