12829940 has 36 divisors (see below), whose sum is σ = 28451556. Its totient is φ = 4859136.

The previous prime is 12829937. The next prime is 12829961. The reversal of 12829940 is 4992821.

12829940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5550736 + 7279204 = 2356^2 + 2698^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12829940.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6332 + ... + 8108.

It is an arithmetic number, because the mean of its divisors is an integer number (790321).

Almost surely, 2^12829940 is an apocalyptic number.

12829940 is a gapful number since it is divisible by the number (10) 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 12829940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14225778).

12829940 is an abundant number, since it is smaller than the sum of its proper divisors (15621616).

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

12829940 is a wasteful number, since it uses less digits than its factorization.

With its successor (12829941) it forms an eRAP, since the sums of their prime factors are consecutive (1824 and 1825).

12829940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1824 (or 1803 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 12829940 is about 3581.8905622590. The cubic root of 12829940 is about 234.1036626442.

The spelling of 12829940 in words is "twelve million, eight hundred twenty-nine thousand, nine hundred forty".