12814480 has 80 divisors (see below), whose sum is σ = 34819200. Its totient is φ = 4384128.

The previous prime is 12814471. The next prime is 12814507. The reversal of 12814480 is 8441821.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27207 + ... + 27673.

It is an arithmetic number, because the mean of its divisors is an integer number (435240).

Almost surely, 2^12814480 is an apocalyptic number.

12814480 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 12814480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17409600).

12814480 is an abundant number, since it is smaller than the sum of its proper divisors (22004720).

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

12814480 is an equidigital number, since it uses as much as digits as its factorization.

12814480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 12814480 is about 3579.7318335317. The cubic root of 12814480 is about 234.0095936846.

The spelling of 12814480 in words is "twelve million, eight hundred fourteen thousand, four hundred eighty".