1309605168 has 80 divisors (see below), whose sum is σ = 3499776000. Its totient is φ = 421547520.

The previous prime is 1309605163. The next prime is 1309605169. The reversal of 1309605168 is 8615069031.

It is not an unprimeable number, because it can be changed into a prime (1309605161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1247908 + ... + 1248956.

It is an arithmetic number, because the mean of its divisors is an integer number (43747200).

Almost surely, 2^1309605168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1309605168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749888000).

1309605168 is an abundant number, since it is smaller than the sum of its proper divisors (2190170832).

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

1309605168 is a wasteful number, since it uses less digits than its factorization.

1309605168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 1309605168 is about 36188.4673342213. The cubic root of 1309605168 is about 1094.0742418370.

The spelling of 1309605168 in words is "one billion, three hundred nine million, six hundred five thousand, one hundred sixty-eight".