12758160 has 160 divisors (see below), whose sum is σ = 43390080. Its totient is φ = 3088384.

The previous prime is 12758111. The next prime is 12758167. The reversal of 12758160 is 6185721.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (12758167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216211 + ... + 216269.

It is an arithmetic number, because the mean of its divisors is an integer number (271188).

Almost surely, 2^12758160 is an apocalyptic number.

12758160 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 12758160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21695040).

12758160 is an abundant number, since it is smaller than the sum of its proper divisors (30631920).

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

12758160 is a wasteful number, since it uses less digits than its factorization.

12758160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 12758160 is about 3571.8566600579. The cubic root of 12758160 is about 233.6662639625. Note that the first 3 decimals are identical.

The spelling of 12758160 in words is "twelve million, seven hundred fifty-eight thousand, one hundred sixty".