12815616 has 144 divisors (see below), whose sum is σ = 39146688. Its totient is φ = 3686400.

The previous prime is 12815611. The next prime is 12815641. The reversal of 12815616 is 61651821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12815611) 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, 312556 + ... + 312596.

It is an arithmetic number, because the mean of its divisors is an integer number (271852).

Almost surely, 2^12815616 is an apocalyptic number.

12815616 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 12815616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19573344).

12815616 is an abundant number, since it is smaller than the sum of its proper divisors (26331072).

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

12815616 is a wasteful number, since it uses less digits than its factorization.

12815616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 94 counting only the distinct ones).

The product of its digits is 2880, while the sum is 30.

The square root of 12815616 is about 3579.8905011187. The cubic root of 12815616 is about 234.0165084416.

It can be divided in two parts, 12815 and 616, that added together give a palindrome (13431).

The spelling of 12815616 in words is "twelve million, eight hundred fifteen thousand, six hundred sixteen".