12616832 has 32 divisors (see below), whose sum is σ = 25301100. Its totient is φ = 6266880.

The previous prime is 12616831. The next prime is 12616841. The reversal of 12616832 is 23861621.

It can be written as a sum of positive squares in 2 ways, for example, as 10916416 + 1700416 = 3304^2 + 1304^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 12616795 and 12616804.

It is not an unprimeable number, because it can be changed into a prime (12616831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30644 + ... + 31052.

Almost surely, 2^12616832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12616832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12650550).

12616832 is an abundant number, since it is smaller than the sum of its proper divisors (12684268).

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

12616832 is an equidigital number, since it uses as much as digits as its factorization.

12616832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 652 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

The square root of 12616832 is about 3552.0180179723. The cubic root of 12616832 is about 232.8002487765.

The spelling of 12616832 in words is "twelve million, six hundred sixteen thousand, eight hundred thirty-two".