1306665360 has 960 divisors, whose sum is σ = 6174604800. Its totient is φ = 243855360.

The previous prime is 1306665319. The next prime is 1306665361. The reversal of 1306665360 is 635666031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1306665361) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35315262 + ... + 35315298.

It is an arithmetic number, because the mean of its divisors is an integer number (6431880).

Almost surely, 2^1306665360 is an apocalyptic number.

1306665360 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 1306665360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3087302400).

1306665360 is an abundant number, since it is smaller than the sum of its proper divisors (4867939440).

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

1306665360 is a wasteful number, since it uses less digits than its factorization.

1306665360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 1306665360 is about 36147.8264906758. The cubic root of 1306665360 is about 1093.2549674481.

It can be divided in two parts, 1306 and 665360, that added together give a palindrome (666666).

The spelling of 1306665360 in words is "one billion, three hundred six million, six hundred sixty-five thousand, three hundred sixty".