13881520 has 80 divisors (see below), whose sum is σ = 34953120. Its totient is φ = 5107712.

The previous prime is 13881509. The next prime is 13881523. The reversal of 13881520 is 2518831.

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

It is not an unprimeable number, because it can be changed into a prime (13881523) 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 15 ways as a sum of consecutive naturals, for example, 80154 + ... + 80326.

It is an arithmetic number, because the mean of its divisors is an integer number (436914).

Almost surely, 2^13881520 is an apocalyptic number.

13881520 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 13881520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17476560).

13881520 is an abundant number, since it is smaller than the sum of its proper divisors (21071600).

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

13881520 is a wasteful number, since it uses less digits than its factorization.

13881520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 13881520 is about 3725.7911911432. The cubic root of 13881520 is about 240.3324097568.

The spelling of 13881520 in words is "thirteen million, eight hundred eighty-one thousand, five hundred twenty".