13880160 has 336 divisors, whose sum is σ = 59494176. Its totient is φ = 2985984.

The previous prime is 13880149. The next prime is 13880227. The reversal of 13880160 is 6108831.

13880160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 816472 + ... + 816488.

It is an arithmetic number, because the mean of its divisors is an integer number (177066).

Almost surely, 2^13880160 is an apocalyptic number.

13880160 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 13880160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29747088).

13880160 is an abundant number, since it is smaller than the sum of its proper divisors (45614016).

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

13880160 is an equidigital number, since it uses as much as digits as its factorization.

13880160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 13880160 is about 3725.6086751026. The cubic root of 13880160 is about 240.3245608864.

Adding to 13880160 its reverse (6108831), we get a palindrome (19988991).

The spelling of 13880160 in words is "thirteen million, eight hundred eighty thousand, one hundred sixty".