14680224 has 96 divisors (see below), whose sum is σ = 46146240. Its totient is φ = 4513536.

The previous prime is 14680223. The next prime is 14680241. The reversal of 14680224 is 42208641.

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

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

It is not an unprimeable number, because it can be changed into a prime (14680223) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10579 + ... + 11885.

It is an arithmetic number, because the mean of its divisors is an integer number (480690).

Almost surely, 2^14680224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14680224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23073120).

14680224 is an abundant number, since it is smaller than the sum of its proper divisors (31466016).

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

14680224 is a wasteful number, since it uses less digits than its factorization.

14680224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 14680224 is about 3831.4780437841. The cubic root of 14680224 is about 244.8560809616.

Adding to 14680224 its reverse (42208641), we get a palindrome (56888865).

The spelling of 14680224 in words is "fourteen million, six hundred eighty thousand, two hundred twenty-four".