12814872 has 96 divisors (see below), whose sum is σ = 39521520. Its totient is φ = 3440640.

The previous prime is 12814871. The next prime is 12814883. The reversal of 12814872 is 27841821.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12814871) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19672 + ... + 20312.

Almost surely, 2^12814872 is an apocalyptic number.

12814872 is a gapful number since it is divisible by the number (12) 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 12814872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19760760).

12814872 is an abundant number, since it is smaller than the sum of its proper divisors (26706648).

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

12814872 is a wasteful number, since it uses less digits than its factorization.

12814872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 670 counting only the distinct ones).

The product of its digits is 7168, while the sum is 33.

The square root of 12814872 is about 3579.7865858177. The cubic root of 12814872 is about 234.0119798089.

The spelling of 12814872 in words is "twelve million, eight hundred fourteen thousand, eight hundred seventy-two".