12767128 has 32 divisors (see below), whose sum is σ = 26568000. Its totient is φ = 5702560.

The previous prime is 12767089. The next prime is 12767137. The reversal of 12767128 is 82176721.

It is a happy number.

12767128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12767093 and 12767102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3963 + ... + 6421.

It is an arithmetic number, because the mean of its divisors is an integer number (830250).

Almost surely, 2^12767128 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 12767128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13284000).

12767128 is an abundant number, since it is smaller than the sum of its proper divisors (13800872).

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

12767128 is a wasteful number, since it uses less digits than its factorization.

12767128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2535 (or 2531 counting only the distinct ones).

The product of its digits is 9408, while the sum is 34.

The square root of 12767128 is about 3573.1118090538. Note that the first 3 decimals coincide. The cubic root of 12767128 is about 233.7210009113.

The spelling of 12767128 in words is "twelve million, seven hundred sixty-seven thousand, one hundred twenty-eight".