12914320 has 40 divisors (see below), whose sum is σ = 30321720. Its totient is φ = 5114880.

The previous prime is 12914311. The next prime is 12914347. The reversal of 12914320 is 2341921.

It can be written as a sum of positive squares in 4 ways, for example, as 1838736 + 11075584 = 1356^2 + 3328^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×12914320² = 333559322124800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12914291 and 12914300.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7980 + ... + 9460.

It is an arithmetic number, because the mean of its divisors is an integer number (758043).

Almost surely, 2^12914320 is an apocalyptic number.

12914320 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 12914320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15160860).

12914320 is an abundant number, since it is smaller than the sum of its proper divisors (17407400).

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

12914320 is a wasteful number, since it uses less digits than its factorization.

12914320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 12914320 is about 3593.6499551292. The cubic root of 12914320 is about 234.6157595898.

The spelling of 12914320 in words is "twelve million, nine hundred fourteen thousand, three hundred twenty".