12771360 has 216 divisors, whose sum is σ = 50977836. Its totient is φ = 2903040.

The previous prime is 12771337. The next prime is 12771391. The reversal of 12771360 is 6317721.

It can be written as a sum of positive squares in 2 ways, for example, as 10732176 + 2039184 = 3276^2 + 1428^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70470 + ... + 70650.

Almost surely, 2^12771360 is an apocalyptic number.

12771360 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 12771360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25488918).

12771360 is an abundant number, since it is smaller than the sum of its proper divisors (38206476).

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

12771360 is a wasteful number, since it uses less digits than its factorization.

12771360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 12771360 is about 3573.7039608787. The cubic root of 12771360 is about 233.7468223805.

It can be divided in two parts, 12771 and 360, that added together give a palindrome (13131).

The spelling of 12771360 in words is "twelve million, seven hundred seventy-one thousand, three hundred sixty".