14080 has 36 divisors (see below), whose sum is σ = 36792. Its totient is φ = 5120.

The previous prime is 14071. The next prime is 14081. The reversal of 14080 is 8041.

14080 = T₄₅ + T₄₆ + ... + T₅₅.

It is an Ulam number.

It is a nialpdrome in base 11 and base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 14080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1275 + ... + 1285.

It is an arithmetic number, because the mean of its divisors is an integer number (1022).

2¹⁴⁰⁸⁰ is an apocalyptic number.

14080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14080 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18396).

14080 is an abundant number, since it is smaller than the sum of its proper divisors (22712).

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

14080 is an equidigital number, since it uses as much as digits as its factorization.

14080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 14080 is about 118.6591757935. The cubic root of 14080 is about 24.1472429472.

The spelling of 14080 in words is "fourteen thousand, eighty".