14978320 has 60 divisors (see below), whose sum is σ = 40520844. Its totient is φ = 5134080.

The previous prime is 14978317. The next prime is 14978357. The reversal of 14978320 is 2387941.

It can be written as a sum of positive squares in 2 ways, for example, as 9834496 + 5143824 = 3136^2 + 2268^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2010 + ... + 5830.

Almost surely, 2^14978320 is an apocalyptic number.

14978320 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 14978320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20260422).

14978320 is an abundant number, since it is smaller than the sum of its proper divisors (25542524).

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

14978320 is a wasteful number, since it uses less digits than its factorization.

14978320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3848 (or 3835 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 14978320 is about 3870.1834581839. The cubic root of 14978320 is about 246.5023335266.

The spelling of 14978320 in words is "fourteen million, nine hundred seventy-eight thousand, three hundred twenty".