12790368 has 72 divisors (see below), whose sum is σ = 36855000. Its totient is φ = 4207104.

The previous prime is 12790361. The next prime is 12790381. The reversal of 12790368 is 86309721.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12790361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25383 + ... + 25881.

It is an arithmetic number, because the mean of its divisors is an integer number (511875).

Almost surely, 2^12790368 is an apocalyptic number.

12790368 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 12790368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18427500).

12790368 is an abundant number, since it is smaller than the sum of its proper divisors (24064632).

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

12790368 is a wasteful number, since it uses less digits than its factorization.

12790368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 12790368 is about 3576.3623977444. The cubic root of 12790368 is about 233.8627290439.

The spelling of 12790368 in words is "twelve million, seven hundred ninety thousand, three hundred sixty-eight".