14880320 has 168 divisors, whose sum is σ = 44997624. Its totient is φ = 4644864.

The previous prime is 14880319. The next prime is 14880329. The reversal of 14880320 is 2308841.

It can be written as a sum of positive squares in 4 ways, for example, as 379456 + 14500864 = 616^2 + 3808^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 14880320.

It is not an unprimeable number, because it can be changed into a prime (14880329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203804 + ... + 203876.

It is an arithmetic number, because the mean of its divisors is an integer number (267843).

Almost surely, 2^14880320 is an apocalyptic number.

14880320 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 14880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22498812).

14880320 is an abundant number, since it is smaller than the sum of its proper divisors (30117304).

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

14880320 is a wasteful number, since it uses less digits than its factorization.

14880320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 14880320 is about 3857.5017822420. The cubic root of 14880320 is about 245.9635524471.

The spelling of 14880320 in words is "fourteen million, eight hundred eighty thousand, three hundred twenty".