1306636064 has 48 divisors (see below), whose sum is σ = 2686219200. Its totient is φ = 624847104.

The previous prime is 1306636033. The next prime is 1306636073. The reversal of 1306636064 is 4606366031.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92717 + ... + 105875.

It is an arithmetic number, because the mean of its divisors is an integer number (55962900).

Almost surely, 2^1306636064 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 1306636064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343109600).

1306636064 is an abundant number, since it is smaller than the sum of its proper divisors (1379583136).

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

1306636064 is a wasteful number, since it uses less digits than its factorization.

1306636064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13305 (or 13297 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 35.

The square root of 1306636064 is about 36147.4212634871. The cubic root of 1306636064 is about 1093.2467969714.

The spelling of 1306636064 in words is "one billion, three hundred six million, six hundred thirty-six thousand, sixty-four".