14688320 has 56 divisors (see below), whose sum is σ = 35304984. Its totient is φ = 5820416.

The previous prime is 14688319. The next prime is 14688337. The reversal of 14688320 is 2388641.

It can be written as a sum of positive squares in 4 ways, for example, as 3182656 + 11505664 = 1784^2 + 3392^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62924 + ... + 63156.

Almost surely, 2^14688320 is an apocalyptic number.

14688320 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 14688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17652492).

14688320 is an abundant number, since it is smaller than the sum of its proper divisors (20616664).

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

14688320 is a wasteful number, since it uses less digits than its factorization.

14688320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 14688320 is about 3832.5344094998. The cubic root of 14688320 is about 244.9010846011.

The spelling of 14688320 in words is "fourteen million, six hundred eighty-eight thousand, three hundred twenty".