12871824 has 80 divisors (see below), whose sum is σ = 39342720. Its totient is φ = 3548160.

The previous prime is 12871811. The next prime is 12871841. The reversal of 12871824 is 42817821.

It is a happy number.

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

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, 9084 + ... + 10404.

It is an arithmetic number, because the mean of its divisors is an integer number (491784).

Almost surely, 2^12871824 is an apocalyptic number.

12871824 is a gapful number since it is divisible by the number (14) 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 12871824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19671360).

12871824 is an abundant number, since it is smaller than the sum of its proper divisors (26470896).

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

12871824 is a wasteful number, since it uses less digits than its factorization.

12871824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368 (or 1362 counting only the distinct ones).

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

The square root of 12871824 is about 3587.7324314949. The cubic root of 12871824 is about 234.3581337552.

It can be divided in two parts, 12871 and 824, that added together give a triangular number (13695 = T₁₆₅).

The spelling of 12871824 in words is "twelve million, eight hundred seventy-one thousand, eight hundred twenty-four".