12790416 has 40 divisors (see below), whose sum is σ = 33470080. Its totient is φ = 4208256.

The previous prime is 12790411. The next prime is 12790423. The reversal of 12790416 is 61409721.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12790411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2106 + ... + 5478.

It is an arithmetic number, because the mean of its divisors is an integer number (836752).

Almost surely, 2^12790416 is an apocalyptic number.

12790416 is a gapful number since it is divisible by the number (16) 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 12790416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16735040).

12790416 is an abundant number, since it is smaller than the sum of its proper divisors (20679664).

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

12790416 is a wasteful number, since it uses less digits than its factorization.

12790416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3463 (or 3457 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 12790416 is about 3576.3691084674. The cubic root of 12790416 is about 233.8630215921.

The spelling of 12790416 in words is "twelve million, seven hundred ninety thousand, four hundred sixteen".