12628160 has 112 divisors (see below), whose sum is σ = 33162240. Its totient is φ = 4561920.

The previous prime is 12628117. The next prime is 12628163. The reversal of 12628160 is 6182621.

It is not an unprimeable number, because it can be changed into a prime (12628163) 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 15 ways as a sum of consecutive naturals, for example, 188447 + ... + 188513.

Almost surely, 2^12628160 is an apocalyptic number.

12628160 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 12628160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16581120).

12628160 is an abundant number, since it is smaller than the sum of its proper divisors (20534080).

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

12628160 is a wasteful number, since it uses less digits than its factorization.

12628160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 12628160 is about 3553.6122467146. The cubic root of 12628160 is about 232.8699010303.

The spelling of 12628160 in words is "twelve million, six hundred twenty-eight thousand, one hundred sixty".