12630080 has 56 divisors (see below), whose sum is σ = 31135320. Its totient is φ = 4874240.

The previous prime is 12630077. The next prime is 12630083. The reversal of 12630080 is 8003621.

It is an interprime number because it is at equal distance from previous prime (12630077) and next prime (12630083).

It can be written as a sum of positive squares in 4 ways, for example, as 295936 + 12334144 = 544^2 + 3512^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (12630083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8600 + ... + 9960.

Almost surely, 2^12630080 is an apocalyptic number.

12630080 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 12630080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15567660).

12630080 is an abundant number, since it is smaller than the sum of its proper divisors (18505240).

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

12630080 is a wasteful number, since it uses less digits than its factorization.

12630080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 12630080 is about 3553.8823840977. The cubic root of 12630080 is about 232.8817023683.

The spelling of 12630080 in words is "twelve million, six hundred thirty thousand, eighty".