12716832 has 48 divisors (see below), whose sum is σ = 33657120. Its totient is φ = 4204032.

The previous prime is 12716831. The next prime is 12716849. The reversal of 12716832 is 23861721.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×12716832² = 323435632232448, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12716832.

It is not an unprimeable number, because it can be changed into a prime (12716831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12868 + ... + 13820.

It is an arithmetic number, because the mean of its divisors is an integer number (701190).

Almost surely, 2^12716832 is an apocalyptic number.

12716832 is a gapful number since it is divisible by the number (12) 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 12716832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16828560).

12716832 is an abundant number, since it is smaller than the sum of its proper divisors (20940288).

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

12716832 is a wasteful number, since it uses less digits than its factorization.

12716832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1097 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 12716832 is about 3566.0667408224. The cubic root of 12716832 is about 233.4136829856.

The spelling of 12716832 in words is "twelve million, seven hundred sixteen thousand, eight hundred thirty-two".