12830688 has 144 divisors (see below), whose sum is σ = 41277600. Its totient is φ = 3750912.

The previous prime is 12830677. The next prime is 12830689. The reversal of 12830688 is 88603821.

12830688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12830689) 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, 86038 + ... + 86186.

It is an arithmetic number, because the mean of its divisors is an integer number (286650).

Almost surely, 2^12830688 is an apocalyptic number.

12830688 is a gapful number since it is divisible by the number (18) 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 12830688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20638800).

12830688 is an abundant number, since it is smaller than the sum of its proper divisors (28446912).

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

12830688 is a wasteful number, since it uses less digits than its factorization.

12830688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 12830688 is about 3581.9949748708. The cubic root of 12830688 is about 234.1082120585.

Adding to 12830688 its sum of digits (36), we get a square (12830724 = 3582²).

The spelling of 12830688 in words is "twelve million, eight hundred thirty thousand, six hundred eighty-eight".