12668832 has 192 divisors, whose sum is σ = 42577920. Its totient is φ = 3628800.

The previous prime is 12668827. The next prime is 12668857. The reversal of 12668832 is 23886621.

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 unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294603 + ... + 294645.

It is an arithmetic number, because the mean of its divisors is an integer number (221760).

Almost surely, 2^12668832 is an apocalyptic number.

12668832 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 12668832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21288960).

12668832 is an abundant number, since it is smaller than the sum of its proper divisors (29909088).

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

12668832 is a wasteful number, since it uses less digits than its factorization.

12668832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 90 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 12668832 is about 3559.3302740825. The cubic root of 12668832 is about 233.1196374552.

The spelling of 12668832 in words is "twelve million, six hundred sixty-eight thousand, eight hundred thirty-two".