14116080 has 80 divisors (see below), whose sum is σ = 47746944. Its totient is φ = 3421440.

The previous prime is 14116079. The next prime is 14116087. The reversal of 14116080 is 8061141.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14116087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34 + ... + 5313.

Almost surely, 2^14116080 is an apocalyptic number.

14116080 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 14116080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23873472).

14116080 is an abundant number, since it is smaller than the sum of its proper divisors (33630864).

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

14116080 is a wasteful number, since it uses less digits than its factorization.

14116080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5374 (or 5368 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 14116080 is about 3757.1372080349. The cubic root of 14116080 is about 241.6785112440.

The spelling of 14116080 in words is "fourteen million, one hundred sixteen thousand, eighty".