12884816 has 40 divisors (see below), whose sum is σ = 29521920. Its totient is φ = 5330304.

The previous prime is 12884813. The next prime is 12884819. The reversal of 12884816 is 61848821.

It is an interprime number because it is at equal distance from previous prime (12884813) and next prime (12884819).

It is a self number, because there is not a number n which added to its sum of digits gives 12884816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12884813) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1265 + ... + 5231.

It is an arithmetic number, because the mean of its divisors is an integer number (738048).

Almost surely, 2^12884816 is an apocalyptic number.

12884816 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 12884816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14760960).

12884816 is an abundant number, since it is smaller than the sum of its proper divisors (16637104).

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

12884816 is a wasteful number, since it uses less digits than its factorization.

12884816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4011 (or 4005 counting only the distinct ones).

The product of its digits is 24576, while the sum is 38.

The square root of 12884816 is about 3589.5425892445. The cubic root of 12884816 is about 234.4369559704.

The spelling of 12884816 in words is "twelve million, eight hundred eighty-four thousand, eight hundred sixteen".