14114080 has 48 divisors (see below), whose sum is σ = 35312760. Its totient is φ = 5312512.

The previous prime is 14114077. The next prime is 14114081. The reversal of 14114080 is 8041141.

14114080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 13749264 + 364816 = 3708^2 + 604^2 .

It is not an unprimeable number, because it can be changed into a prime (14114081) 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, 126 + ... + 5314.

Almost surely, 2^14114080 is an apocalyptic number.

14114080 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 14114080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17656380).

14114080 is an abundant number, since it is smaller than the sum of its proper divisors (21198680).

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

14114080 is a wasteful number, since it uses less digits than its factorization.

14114080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5221 (or 5213 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 14114080 is about 3756.8710385106. The cubic root of 14114080 is about 241.6670968416.

The spelling of 14114080 in words is "fourteen million, one hundred fourteen thousand, eighty".