12736080 has 270 divisors, whose sum is σ = 52511706. Its totient is φ = 2757888.

The previous prime is 12736079. The next prime is 12736081. The reversal of 12736080 is 8063721.

It is an interprime number because it is at equal distance from previous prime (12736079) and next prime (12736081).

It can be written as a sum of positive squares in only one way, i.e., 10188864 + 2547216 = 3192^2 + 1596^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12736081) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 670311 + ... + 670329.

Almost surely, 2^12736080 is an apocalyptic number.

12736080 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 12736080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26255853).

12736080 is an abundant number, since it is smaller than the sum of its proper divisors (39775626).

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

12736080 is a wasteful number, since it uses less digits than its factorization.

12736080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 12736080 is about 3568.7644920897. The cubic root of 12736080 is about 233.5313873991.

The spelling of 12736080 in words is "twelve million, seven hundred thirty-six thousand, eighty".