1306811880 has 320 divisors, whose sum is σ = 4926113280. Its totient is φ = 307929600.

The previous prime is 1306811837. The next prime is 1306811881. The reversal of 1306811880 is 881186031.

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 (1306811881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1318185 + ... + 1319175.

It is an arithmetic number, because the mean of its divisors is an integer number (15394104).

Almost surely, 2^1306811880 is an apocalyptic number.

1306811880 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 1306811880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2463056640).

1306811880 is an abundant number, since it is smaller than the sum of its proper divisors (3619301400).

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

1306811880 is a wasteful number, since it uses less digits than its factorization.

1306811880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1306811880 is about 36149.8531117348. The cubic root of 1306811880 is about 1093.2958291551.

The spelling of 1306811880 in words is "one billion, three hundred six million, eight hundred eleven thousand, eight hundred eighty".