14917320 has 96 divisors (see below), whose sum is σ = 52902720. Its totient is φ = 3615360.

The previous prime is 14917303. The next prime is 14917321. The reversal of 14917320 is 2371941.

It is not an unprimeable number, because it can be changed into a prime (14917321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2077 + ... + 5843.

It is an arithmetic number, because the mean of its divisors is an integer number (551070).

Almost surely, 2^14917320 is an apocalyptic number.

14917320 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 14917320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26451360).

14917320 is an abundant number, since it is smaller than the sum of its proper divisors (37985400).

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

14917320 is a wasteful number, since it uses less digits than its factorization.

14917320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3795 (or 3788 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 14917320 is about 3862.2946547357. The cubic root of 14917320 is about 246.1672469667.

The spelling of 14917320 in words is "fourteen million, nine hundred seventeen thousand, three hundred twenty".