12824416 has 24 divisors (see below), whose sum is σ = 27544104. Its totient is φ = 5829120.

The previous prime is 12824389. The next prime is 12824447. The reversal of 12824416 is 61442821.

12824416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17865 + ... + 18568.

It is an arithmetic number, because the mean of its divisors is an integer number (1147671).

Almost surely, 2^12824416 is an apocalyptic number.

12824416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12824416 is an abundant number, since it is smaller than the sum of its proper divisors (14719688).

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

12824416 is a wasteful number, since it uses less digits than its factorization.

12824416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36454 (or 36446 counting only the distinct ones).

The product of its digits is 3072, while the sum is 28.

The square root of 12824416 is about 3581.1193780716. The cubic root of 12824416 is about 234.0700596220.

It can be divided in two parts, 12 and 824416, that added together give a palindrome (824428).

The spelling of 12824416 in words is "twelve million, eight hundred twenty-four thousand, four hundred sixteen".