12816640 has 144 divisors (see below), whose sum is σ = 35320320. Its totient is φ = 4423680.

The previous prime is 12816607. The next prime is 12816667. The reversal of 12816640 is 4661821.

It is a junction number, because it is equal to n+sod(n) for n = 12816599 and 12816608.

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 15 ways as a sum of consecutive naturals, for example, 413425 + ... + 413455.

It is an arithmetic number, because the mean of its divisors is an integer number (245280).

Almost surely, 2^12816640 is an apocalyptic number.

12816640 is a gapful number since it is divisible by the number (10) 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 12816640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17660160).

12816640 is an abundant number, since it is smaller than the sum of its proper divisors (22503680).

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

12816640 is a wasteful number, since it uses less digits than its factorization.

12816640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 12816640 is about 3580.0335193962. The cubic root of 12816640 is about 234.0227411117.

It can be divided in two parts, 12816 and 640, that added together give a square (13456 = 116²).

The spelling of 12816640 in words is "twelve million, eight hundred sixteen thousand, six hundred forty".