12801616 has 40 divisors (see below), whose sum is σ = 26516160. Its totient is φ = 5972736.

The previous prime is 12801589. The next prime is 12801637. The reversal of 12801616 is 61610821.

It is a super-2 number, since 2×12801616² = 327762744422912, which contains 22 as substring.

12801616 is a modest number, since divided by 1616 gives 1280 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15420 + ... + 16228.

It is an arithmetic number, because the mean of its divisors is an integer number (662904).

Almost surely, 2^12801616 is an apocalyptic number.

12801616 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 12801616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13258080).

12801616 is an abundant number, since it is smaller than the sum of its proper divisors (13714544).

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

12801616 is a wasteful number, since it uses less digits than its factorization.

12801616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 12801616 is about 3577.9345997377. The cubic root of 12801616 is about 233.9312628358.

The spelling of 12801616 in words is "twelve million, eight hundred one thousand, six hundred sixteen".