12906828 has 54 divisors (see below), whose sum is σ = 35873292. Its totient is φ = 3909840.

The previous prime is 12906823. The next prime is 12906847. The reversal of 12906828 is 82860921.

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

It is a junction number, because it is equal to n+sod(n) for n = 12906792 and 12906801.

It is not an unprimeable number, because it can be changed into a prime (12906823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2875 + ... + 5837.

Almost surely, 2^12906828 is an apocalyptic number.

12906828 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 12906828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17936646).

12906828 is an abundant number, since it is smaller than the sum of its proper divisors (22966464).

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

12906828 is a wasteful number, since it uses less digits than its factorization.

12906828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2995 (or 2979 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 12906828 is about 3592.6074096678. The cubic root of 12906828 is about 234.5703815060.

It can be divided in two parts, 1290 and 6828, that added together give a palindrome (8118).

The spelling of 12906828 in words is "twelve million, nine hundred six thousand, eight hundred twenty-eight".