14688480 has 96 divisors (see below), whose sum is σ = 47029248. Its totient is φ = 3852800.

The previous prime is 14688469. The next prime is 14688481. The reversal of 14688480 is 8488641.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14688481) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 33865 + ... + 34295.

It is an arithmetic number, because the mean of its divisors is an integer number (489888).

Almost surely, 2^14688480 is an apocalyptic number.

14688480 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 14688480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23514624).

14688480 is an abundant number, since it is smaller than the sum of its proper divisors (32340768).

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

14688480 is a wasteful number, since it uses less digits than its factorization.

14688480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 14688480 is about 3832.5552833586. Note that the first 3 decimals coincide. The cubic root of 14688480 is about 244.9019738344.

The spelling of 14688480 in words is "fourteen million, six hundred eighty-eight thousand, four hundred eighty".