14013680 has 40 divisors (see below), whose sum is σ = 33145200. Its totient is φ = 5508608.

The previous prime is 14013679. The next prime is 14013689. The reversal of 14013680 is 8631041.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14013689) 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 7 ways as a sum of consecutive naturals, for example, 3236 + ... + 6204.

It is an arithmetic number, because the mean of its divisors is an integer number (828630).

Almost surely, 2^14013680 is an apocalyptic number.

14013680 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 14013680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16572600).

14013680 is an abundant number, since it is smaller than the sum of its proper divisors (19131520).

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

14013680 is a wasteful number, since it uses less digits than its factorization.

14013680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3041 (or 3035 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 14013680 is about 3743.4850073160. The cubic root of 14013680 is about 241.0927026388.

The spelling of 14013680 in words is "fourteen million, thirteen thousand, six hundred eighty".