12808224 has 144 divisors (see below), whose sum is σ = 42928704. Its totient is φ = 3571200.

The previous prime is 12808219. The next prime is 12808241. The reversal of 12808224 is 42280821.

12808224 = 27² + 28² + ... + 337².

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41029 + ... + 41339.

It is an arithmetic number, because the mean of its divisors is an integer number (298116).

Almost surely, 2^12808224 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 12808224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21464352).

12808224 is an abundant number, since it is smaller than the sum of its proper divisors (30120480).

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

12808224 is a wasteful number, since it uses less digits than its factorization.

12808224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 12808224 is about 3578.8579183868. The cubic root of 12808224 is about 233.9715065021.

The spelling of 12808224 in words is "twelve million, eight hundred eight thousand, two hundred twenty-four".