12810824 has 32 divisors (see below), whose sum is σ = 26040000. Its totient is φ = 5873472.

The previous prime is 12810821. The next prime is 12810829. The reversal of 12810824 is 42801821.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 12810793 and 12810802.

It is not an unprimeable number, because it can be changed into a prime (12810821) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 20387 + ... + 21005.

It is an arithmetic number, because the mean of its divisors is an integer number (813750).

Almost surely, 2^12810824 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 12810824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13020000).

12810824 is an abundant number, since it is smaller than the sum of its proper divisors (13229176).

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

12810824 is a wasteful number, since it uses less digits than its factorization.

12810824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 12810824 is about 3579.2211443274. The cubic root of 12810824 is about 233.9873370799.

The spelling of 12810824 in words is "twelve million, eight hundred ten thousand, eight hundred twenty-four".