12913824 has 96 divisors (see below), whose sum is σ = 42287616. Its totient is φ = 3352320.

The previous prime is 12913819. The next prime is 12913843. The reversal of 12913824 is 42831921.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 12913791 and 12913800.

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, 6519 + ... + 8265.

It is an arithmetic number, because the mean of its divisors is an integer number (440496).

Almost surely, 2^12913824 is an apocalyptic number.

12913824 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 12913824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21143808).

12913824 is an abundant number, since it is smaller than the sum of its proper divisors (29373792).

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

12913824 is a wasteful number, since it uses less digits than its factorization.

12913824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 1770 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 12913824 is about 3593.5809438497. The cubic root of 12913824 is about 234.6127559239.

It can be divided in two parts, 1291 and 3824, that added together give a palindrome (5115).

The spelling of 12913824 in words is "twelve million, nine hundred thirteen thousand, eight hundred twenty-four".