14487120 has 160 divisors (see below), whose sum is σ = 52675200. Its totient is φ = 3649536.

The previous prime is 14487119. The next prime is 14487127. The reversal of 14487120 is 2178441.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14487127) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 40864 + ... + 41216.

It is an arithmetic number, because the mean of its divisors is an integer number (329220).

Almost surely, 2^14487120 is an apocalyptic number.

14487120 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 14487120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26337600).

14487120 is an abundant number, since it is smaller than the sum of its proper divisors (38188080).

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

14487120 is a wasteful number, since it uses less digits than its factorization.

14487120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 14487120 is about 3806.1949503408. The cubic root of 14487120 is about 243.7777246571. Note that the first 4 decimals are identical.

The spelling of 14487120 in words is "fourteen million, four hundred eighty-seven thousand, one hundred twenty".