12983616 has 42 divisors (see below), whose sum is σ = 37216842. Its totient is φ = 4327680.

The previous prime is 12983611. The next prime is 12983623. The reversal of 12983616 is 61638921.

12983616 is a `hidden beast` number, since 1 + 298 + 361 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12278016 + 705600 = 3504^2 + 840^2 .

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 an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12983611) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10695 + ... + 11846.

Almost surely, 2^12983616 is an apocalyptic number.

12983616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12983616 is an abundant number, since it is smaller than the sum of its proper divisors (24233226).

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

12983616 is a wasteful number, since it uses less digits than its factorization.

12983616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22559 (or 22546 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 12983616 is about 3603.2785071376. The cubic root of 12983616 is about 235.0346470721.

The spelling of 12983616 in words is "twelve million, nine hundred eighty-three thousand, six hundred sixteen".