1306659168 has 144 divisors (see below), whose sum is σ = 4049231760. Its totient is φ = 409853952.

The previous prime is 1306659163. The next prime is 1306659197. The reversal of 1306659168 is 8619566031.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306659163) 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, 247080 + ... + 252312.

It is an arithmetic number, because the mean of its divisors is an integer number (28119665).

Almost surely, 2^1306659168 is an apocalyptic number.

1306659168 is a gapful number since it is divisible by the number (18) 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 1306659168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2024615880).

1306659168 is an abundant number, since it is smaller than the sum of its proper divisors (2742572592).

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

1306659168 is a wasteful number, since it uses less digits than its factorization.

1306659168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5286 (or 5255 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 1306659168 is about 36147.7408422712. The cubic root of 1306659168 is about 1093.2532405471.

The spelling of 1306659168 in words is "one billion, three hundred six million, six hundred fifty-nine thousand, one hundred sixty-eight".