14688140 has 24 divisors (see below), whose sum is σ = 32469360. Its totient is φ = 5565888.

The previous prime is 14688139. The next prime is 14688161. The reversal of 14688140 is 4188641.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 14688097 and 14688106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18947 + ... + 19706.

It is an arithmetic number, because the mean of its divisors is an integer number (1352890).

Almost surely, 2^14688140 is an apocalyptic number.

14688140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14688140 is an abundant number, since it is smaller than the sum of its proper divisors (17781220).

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

14688140 is a wasteful number, since it uses less digits than its factorization.

14688140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38681 (or 38679 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 14688140 is about 3832.5109262727. The cubic root of 14688140 is about 244.9000842059.

The spelling of 14688140 in words is "fourteen million, six hundred eighty-eight thousand, one hundred forty".