12814956 has 192 divisors, whose sum is σ = 43868160. Its totient is φ = 3136320.

The previous prime is 12814937. The next prime is 12814969. The reversal of 12814956 is 65941821.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12814956.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 191235 + ... + 191301.

It is an arithmetic number, because the mean of its divisors is an integer number (228480).

Almost surely, 2^12814956 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 12814956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21934080).

12814956 is an abundant number, since it is smaller than the sum of its proper divisors (31053204).

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

12814956 is a wasteful number, since it uses less digits than its factorization.

12814956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 113 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 12814956 is about 3579.7983183414. The cubic root of 12814956 is about 234.0124911149.

The spelling of 12814956 in words is "twelve million, eight hundred fourteen thousand, nine hundred fifty-six".