1306350080 has 160 divisors (see below), whose sum is σ = 3606197760. Its totient is φ = 444579840.

The previous prime is 1306350061. The next prime is 1306350107. The reversal of 1306350080 is 800536031.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4820345 + ... + 4820615.

It is an arithmetic number, because the mean of its divisors is an integer number (22538736).

Almost surely, 2^1306350080 is an apocalyptic number.

1306350080 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 1306350080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803098880).

1306350080 is an abundant number, since it is smaller than the sum of its proper divisors (2299847680).

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

1306350080 is an equidigital number, since it uses as much as digits as its factorization.

1306350080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 1306350080 is about 36143.4652461548. The cubic root of 1306350080 is about 1093.1670313520.

The spelling of 1306350080 in words is "one billion, three hundred six million, three hundred fifty thousand, eighty".