14289120 has 72 divisors (see below), whose sum is σ = 48766536. Its totient is φ = 3810048.

The previous prime is 14289091. The next prime is 14289127. The reversal of 14289120 is 2198241.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14289127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3522 + ... + 6401.

It is an arithmetic number, because the mean of its divisors is an integer number (677313).

Almost surely, 2^14289120 is an apocalyptic number.

14289120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14289120 is an abundant number, since it is smaller than the sum of its proper divisors (34477416).

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

14289120 is a wasteful number, since it uses less digits than its factorization.

14289120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9944 (or 9933 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 14289120 is about 3780.0952368955. The cubic root of 14289120 is about 242.6620307987.

The spelling of 14289120 in words is "fourteen million, two hundred eighty-nine thousand, one hundred twenty".