12824064 has 180 divisors, whose sum is σ = 42450408. Its totient is φ = 3717120.

The previous prime is 12824059. The next prime is 12824083. The reversal of 12824064 is 46042821.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 557557 + ... + 557579.

Almost surely, 2^12824064 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 12824064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21225204).

12824064 is an abundant number, since it is smaller than the sum of its proper divisors (29626344).

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

12824064 is a wasteful number, since it uses less digits than its factorization.

12824064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 12824064 is about 3581.0702310901. The cubic root of 12824064 is about 234.0679180453.

Adding to 12824064 its reverse (46042821), we get a palindrome (58866885).

The spelling of 12824064 in words is "twelve million, eight hundred twenty-four thousand, sixty-four".