12803616 has 192 divisors, whose sum is σ = 44755200. Its totient is φ = 3483648.

The previous prime is 12803611. The next prime is 12803653. The reversal of 12803616 is 61630821.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 12803616.

It is not an unprimeable number, because it can be changed into a prime (12803611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175356 + ... + 175428.

It is an arithmetic number, because the mean of its divisors is an integer number (233100).

Almost surely, 2^12803616 is an apocalyptic number.

12803616 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 12803616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22377600).

12803616 is an abundant number, since it is smaller than the sum of its proper divisors (31951584).

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

12803616 is a wasteful number, since it uses less digits than its factorization.

12803616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12803616 is about 3578.2140796772. The cubic root of 12803616 is about 233.9434445834.

The spelling of 12803616 in words is "twelve million, eight hundred three thousand, six hundred sixteen".