12738320 has 120 divisors (see below), whose sum is σ = 36206016. Its totient is φ = 4080384.

The previous prime is 12738311. The next prime is 12738347. The reversal of 12738320 is 2383721.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 12738320.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 296219 + ... + 296261.

Almost surely, 2^12738320 is an apocalyptic number.

12738320 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 12738320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18103008).

12738320 is an abundant number, since it is smaller than the sum of its proper divisors (23467696).

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

12738320 is a wasteful number, since it uses less digits than its factorization.

12738320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 12738320 is about 3569.0783123938. The cubic root of 12738320 is about 233.5450776304.

The spelling of 12738320 in words is "twelve million, seven hundred thirty-eight thousand, three hundred twenty".