12611360 has 72 divisors (see below), whose sum is σ = 31355100. Its totient is φ = 4792832.

The previous prime is 12611359. The next prime is 12611363. The reversal of 12611360 is 6311621.

It can be written as a sum of positive squares in 2 ways, for example, as 11587216 + 1024144 = 3404^2 + 1012^2 .

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

12611360 is a Rhonda number in base 15.

It is not an unprimeable number, because it can be changed into a prime (12611363) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84566 + ... + 84714.

Almost surely, 2^12611360 is an apocalyptic number.

12611360 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 12611360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15677550).

12611360 is an abundant number, since it is smaller than the sum of its proper divisors (18743740).

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

12611360 is a wasteful number, since it uses less digits than its factorization.

12611360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 12611360 is about 3551.2476680739. The cubic root of 12611360 is about 232.7665882620.

Adding to 12611360 its reverse (6311621), we get a palindrome (18922981).

The spelling of 12611360 in words is "twelve million, six hundred eleven thousand, three hundred sixty".