12766160 has 80 divisors (see below), whose sum is σ = 32944320. Its totient is φ = 4561920.

The previous prime is 12766153. The next prime is 12766183. The reversal of 12766160 is 6166721.

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

It is a super-2 number, since 2×12766160² = 325949682291200, which contains 22 as substring.

It is a congruent number.

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, 78239 + ... + 78401.

It is an arithmetic number, because the mean of its divisors is an integer number (411804).

Almost surely, 2^12766160 is an apocalyptic number.

12766160 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 12766160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16472160).

12766160 is an abundant number, since it is smaller than the sum of its proper divisors (20178160).

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

12766160 is a wasteful number, since it uses less digits than its factorization.

12766160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 12766160 is about 3572.9763503276. The cubic root of 12766160 is about 233.7150938755.

It can be divided in two parts, 127661 and 60, that added together give a palindrome (127721).

The spelling of 12766160 in words is "twelve million, seven hundred sixty-six thousand, one hundred sixty".