12761160 has 128 divisors (see below), whose sum is σ = 41904000. Its totient is φ = 3096576.

The previous prime is 12761149. The next prime is 12761171. The reversal of 12761160 is 6116721.

It is an interprime number because it is at equal distance from previous prime (12761149) and next prime (12761171).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12761160.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66024 + ... + 66216.

It is an arithmetic number, because the mean of its divisors is an integer number (327375).

Almost surely, 2^12761160 is an apocalyptic number.

12761160 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 12761160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20952000).

12761160 is an abundant number, since it is smaller than the sum of its proper divisors (29142840).

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

12761160 is a wasteful number, since it uses less digits than its factorization.

12761160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 12761160 is about 3572.2765850365. The cubic root of 12761160 is about 233.6845775713.

Adding to 12761160 its reverse (6116721), we get a palindrome (18877881).

It can be divided in two parts, 12761 and 160, that added together give a palindrome (12921).

The spelling of 12761160 in words is "twelve million, seven hundred sixty-one thousand, one hundred sixty".