1306507968 has 196 divisors, whose sum is σ = 3987762408. Its totient is φ = 424258560.

The previous prime is 1306507957. The next prime is 1306507981. The reversal of 1306507968 is 8697056031.

It is a happy number.

1306507968 is a `hidden beast` number, since 130 + 6 + 507 + 9 + 6 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1912555 + ... + 1913237.

Almost surely, 2^1306507968 is an apocalyptic number.

1306507968 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 1306507968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1993881204).

1306507968 is an abundant number, since it is smaller than the sum of its proper divisors (2681254440).

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

1306507968 is an frugal number, since it uses more digits than its factorization.

1306507968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 1306507968 is about 36145.6493647576. The cubic root of 1306507968 is about 1093.2110703392.

The spelling of 1306507968 in words is "one billion, three hundred six million, five hundred seven thousand, nine hundred sixty-eight".