14648320 has 44 divisors (see below), whose sum is σ = 35151084. Its totient is φ = 5857280.

The previous prime is 14648317. The next prime is 14648327. The reversal of 14648320 is 2384641.

It can be written as a sum of positive squares in 2 ways, for example, as 6718464 + 7929856 = 2592^2 + 2816^2 .

It is not an unprimeable number, because it can be changed into a prime (14648327) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3690 + ... + 6550.

Almost surely, 2^14648320 is an apocalyptic number.

14648320 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 14648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17575542).

14648320 is an abundant number, since it is smaller than the sum of its proper divisors (20502764).

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

14648320 is an equidigital number, since it uses as much as digits as its factorization.

14648320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2886 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 14648320 is about 3827.3123729322. The cubic root of 14648320 is about 244.6785733534.

The spelling of 14648320 in words is "fourteen million, six hundred forty-eight thousand, three hundred twenty".