12786816 has 128 divisors (see below), whose sum is σ = 39951360. Its totient is φ = 3548160.

The previous prime is 12786799. The next prime is 12786817. The reversal of 12786816 is 61868721.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (12786817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180061 + ... + 180131.

It is an arithmetic number, because the mean of its divisors is an integer number (312120).

Almost surely, 2^12786816 is an apocalyptic number.

12786816 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 12786816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19975680).

12786816 is an abundant number, since it is smaller than the sum of its proper divisors (27164544).

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

12786816 is an equidigital number, since it uses as much as digits as its factorization.

12786816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 150 counting only the distinct ones).

The product of its digits is 32256, while the sum is 39.

The square root of 12786816 is about 3575.8657692928. The cubic root of 12786816 is about 233.8410784466.

The spelling of 12786816 in words is "twelve million, seven hundred eighty-six thousand, eight hundred sixteen".