1306729360 has 120 divisors (see below), whose sum is σ = 3280236480. Its totient is φ = 483183360.

The previous prime is 1306729349. The next prime is 1306729367. The reversal of 1306729360 is 639276031.

It is not an unprimeable number, because it can be changed into a prime (1306729367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1767871 + ... + 1768609.

It is an arithmetic number, because the mean of its divisors is an integer number (27335304).

Almost surely, 2^1306729360 is an apocalyptic number.

1306729360 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 1306729360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640118240).

1306729360 is an abundant number, since it is smaller than the sum of its proper divisors (1973507120).

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

1306729360 is a wasteful number, since it uses less digits than its factorization.

1306729360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 37.

The square root of 1306729360 is about 36148.7117336151. The cubic root of 1306729360 is about 1093.2728162353.

The spelling of 1306729360 in words is "one billion, three hundred six million, seven hundred twenty-nine thousand, three hundred sixty".