12824480 has 24 divisors (see below), whose sum is σ = 30298212. Its totient is φ = 5129728.

The previous prime is 12824473. The next prime is 12824491. The reversal of 12824480 is 8442821.

12824480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11751184 + 1073296 = 3428^2 + 1036^2 .

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, 39917 + ... + 40236.

Almost surely, 2^12824480 is an apocalyptic number.

12824480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12824480 is an abundant number, since it is smaller than the sum of its proper divisors (17473732).

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

12824480 is an equidigital number, since it uses as much as digits as its factorization.

12824480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80168 (or 80160 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 29.

The square root of 12824480 is about 3581.1283138140. The cubic root of 12824480 is about 234.0704489954.

The spelling of 12824480 in words is "twelve million, eight hundred twenty-four thousand, four hundred eighty".