13980160 has 80 divisors (see below), whose sum is σ = 34569216. Its totient is φ = 5419008.

The previous prime is 13980151. The next prime is 13980167. The reversal of 13980160 is 6108931.

It is a happy number.

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (13980167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110017 + ... + 110143.

Almost surely, 2^13980160 is an apocalyptic number.

13980160 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 13980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17284608).

13980160 is an abundant number, since it is smaller than the sum of its proper divisors (20589056).

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

13980160 is an equidigital number, since it uses as much as digits as its factorization.

13980160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 13980160 is about 3739.0052152946. The cubic root of 13980160 is about 240.9003220645.

The spelling of 13980160 in words is "thirteen million, nine hundred eighty thousand, one hundred sixty".