14188680 has 96 divisors (see below), whose sum is σ = 50319360. Its totient is φ = 3438720.

The previous prime is 14188673. The next prime is 14188709. The reversal of 14188680 is 8688141.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2169 + ... + 5751.

It is an arithmetic number, because the mean of its divisors is an integer number (524160).

Almost surely, 2^14188680 is an apocalyptic number.

14188680 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 14188680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25159680).

14188680 is an abundant number, since it is smaller than the sum of its proper divisors (36130680).

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

14188680 is a wasteful number, since it uses less digits than its factorization.

14188680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3611 (or 3604 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 14188680 is about 3766.7864287745. The cubic root of 14188680 is about 242.0921262066.

The spelling of 14188680 in words is "fourteen million, one hundred eighty-eight thousand, six hundred eighty".