12638160 has 80 divisors (see below), whose sum is σ = 43538880. Its totient is φ = 3369600.

The previous prime is 12638149. The next prime is 12638167. The reversal of 12638160 is 6183621.

12638160 is a `hidden beast` number, since 12 + 638 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12638167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 766 + ... + 5085.

It is an arithmetic number, because the mean of its divisors is an integer number (544236).

Almost surely, 2^12638160 is an apocalyptic number.

12638160 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 12638160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21769440).

12638160 is an abundant number, since it is smaller than the sum of its proper divisors (30900720).

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

12638160 is a wasteful number, since it uses less digits than its factorization.

12638160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5873 (or 5861 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12638160 is about 3555.0189872911. The cubic root of 12638160 is about 232.9313532291.

The spelling of 12638160 in words is "twelve million, six hundred thirty-eight thousand, one hundred sixty".