12824576 has 52 divisors (see below), whose sum is σ = 26735424. Its totient is φ = 6144000.

The previous prime is 12824551. The next prime is 12824597. The reversal of 12824576 is 67542821.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 126926 + ... + 127026.

Almost surely, 2^12824576 is an apocalyptic number.

12824576 is a gapful number since it is divisible by the number (16) 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 12824576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13367712).

12824576 is an abundant number, since it is smaller than the sum of its proper divisors (13910848).

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

12824576 is an equidigital number, since it uses as much as digits as its factorization.

12824576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 134 counting only the distinct ones).

The product of its digits is 26880, while the sum is 35.

The square root of 12824576 is about 3581.1417173857. The cubic root of 12824576 is about 234.0710330531.

The spelling of 12824576 in words is "twelve million, eight hundred twenty-four thousand, five hundred seventy-six".