1306899360 has 240 divisors, whose sum is σ = 4967695656. Its totient is φ = 321656832.

The previous prime is 1306899359. The next prime is 1306899389. The reversal of 1306899360 is 639986031.

1306899360 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1024256016 + 282643344 = 32004^2 + 16812^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 164602 + ... + 172358.

Almost surely, 2^1306899360 is an apocalyptic number.

1306899360 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 1306899360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2483847828).

1306899360 is an abundant number, since it is smaller than the sum of its proper divisors (3660796296).

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

1306899360 is a wasteful number, since it uses less digits than its factorization.

1306899360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7797 (or 7780 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 1306899360 is about 36151.0630549089. The cubic root of 1306899360 is about 1093.3202242463.

The spelling of 1306899360 in words is "one billion, three hundred six million, eight hundred ninety-nine thousand, three hundred sixty".