12882816 has 96 divisors (see below), whose sum is σ = 37950120. Its totient is φ = 4193280.

The previous prime is 12882811. The next prime is 12882823. The reversal of 12882816 is 61828821.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12882811) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60951 + ... + 61161.

Almost surely, 2^12882816 is an apocalyptic number.

12882816 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 12882816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18975060).

12882816 is an abundant number, since it is smaller than the sum of its proper divisors (25067304).

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

12882816 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (12882815) it forms an eRAP, since the sums of their prime factors are consecutive (283 and 284).

12882816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 269 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 12882816 is about 3589.2639914055. The cubic root of 12882816 is about 234.4248254603.

It can be divided in two parts, 128 and 82816, that added together give a square (82944 = 288²).

The spelling of 12882816 in words is "twelve million, eight hundred eighty-two thousand, eight hundred sixteen".