12776160 has 96 divisors (see below), whose sum is σ = 41247360. Its totient is φ = 3322368.

The previous prime is 12776149. The next prime is 12776167. The reversal of 12776160 is 6167721.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12776167) 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, 20331 + ... + 20949.

It is an arithmetic number, because the mean of its divisors is an integer number (429660).

Almost surely, 2^12776160 is an apocalyptic number.

12776160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12776160 is the 2064-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12776160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20623680).

12776160 is an abundant number, since it is smaller than the sum of its proper divisors (28471200).

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

12776160 is a wasteful number, since it uses less digits than its factorization.

12776160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 12776160 is about 3574.3754699248. The cubic root of 12776160 is about 233.7761025880.

The spelling of 12776160 in words is "twelve million, seven hundred seventy-six thousand, one hundred sixty".