12640160 has 96 divisors (see below), whose sum is σ = 33022080. Its totient is φ = 4543488.

The previous prime is 12640141. The next prime is 12640171. The reversal of 12640160 is 6104621.

It is a happy number.

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

It is an unprimeable number.

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, 122669 + ... + 122771.

It is an arithmetic number, because the mean of its divisors is an integer number (343980).

Almost surely, 2^12640160 is an apocalyptic number.

12640160 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 12640160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511040).

12640160 is an abundant number, since it is smaller than the sum of its proper divisors (20381920).

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

12640160 is a wasteful number, since it uses less digits than its factorization.

12640160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 182 counting only the distinct ones).

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

The square root of 12640160 is about 3555.3002686130. The cubic root of 12640160 is about 232.9436397786.

Adding to 12640160 its reverse (6104621), we get a palindrome (18744781).

The spelling of 12640160 in words is "twelve million, six hundred forty thousand, one hundred sixty".