12814464 has 128 divisors (see below), whose sum is σ = 39070080. Its totient is φ = 3686400.

The previous prime is 12814457. The next prime is 12814471. The reversal of 12814464 is 46441821.

It is an interprime number because it is at equal distance from previous prime (12814457) and next prime (12814471).

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84789 + ... + 84939.

It is an arithmetic number, because the mean of its divisors is an integer number (305235).

Almost surely, 2^12814464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12814464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19535040).

12814464 is an abundant number, since it is smaller than the sum of its proper divisors (26255616).

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

12814464 is a wasteful number, since it uses less digits than its factorization.

12814464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 186 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 12814464 is about 3579.7295987267. The cubic root of 12814464 is about 234.0094962908.

The spelling of 12814464 in words is "twelve million, eight hundred fourteen thousand, four hundred sixty-four".