12814080 has 144 divisors (see below), whose sum is σ = 42384384. Its totient is φ = 3297280.

The previous prime is 12814079. The next prime is 12814093. The reversal of 12814080 is 8041821.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 12814080.

It is a congruent number.

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, 180445 + ... + 180515.

It is an arithmetic number, because the mean of its divisors is an integer number (294336).

Almost surely, 2^12814080 is an apocalyptic number.

12814080 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 12814080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21192192).

12814080 is an abundant number, since it is smaller than the sum of its proper divisors (29570304).

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

12814080 is an equidigital number, since it uses as much as digits as its factorization.

12814080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 12814080 is about 3579.6759629888. The cubic root of 12814080 is about 234.0071588138.

The spelling of 12814080 in words is "twelve million, eight hundred fourteen thousand, eighty".