12638080 has 192 divisors, whose sum is σ = 39070080. Its totient is φ = 3870720.

The previous prime is 12638077. The next prime is 12638083. The reversal of 12638080 is 8083621.

It is an interprime number because it is at equal distance from previous prime (12638077) and next prime (12638083).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12638083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 407665 + ... + 407695.

It is an arithmetic number, because the mean of its divisors is an integer number (203490).

Almost surely, 2^12638080 is an apocalyptic number.

12638080 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 12638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19535040).

12638080 is an abundant number, since it is smaller than the sum of its proper divisors (26432000).

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

12638080 is a wasteful number, since it uses less digits than its factorization.

12638080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 12638080 is about 3555.0077355753. The cubic root of 12638080 is about 232.9308617402.

The spelling of 12638080 in words is "twelve million, six hundred thirty-eight thousand, eighty".