12704832 has 168 divisors, whose sum is σ = 43744896. Its totient is φ = 3446784.

The previous prime is 12704827. The next prime is 12704837. The reversal of 12704832 is 23840721.

It is an interprime number because it is at equal distance from previous prime (12704827) and next prime (12704837).

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×12704832² = 322825512296448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12704796 and 12704805.

It is not an unprimeable number, because it can be changed into a prime (12704837) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92668 + ... + 92804.

Almost surely, 2^12704832 is an apocalyptic number.

12704832 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 12704832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21872448).

12704832 is an abundant number, since it is smaller than the sum of its proper divisors (31040064).

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

12704832 is a wasteful number, since it uses less digits than its factorization.

12704832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 12704832 is about 3564.3838177166. The cubic root of 12704832 is about 233.3402410653.

The spelling of 12704832 in words is "twelve million, seven hundred four thousand, eight hundred thirty-two".