1309860864 has 297 divisors, whose sum is σ = 4241607123. Its totient is φ = 389136384.

The previous prime is 1309860859. The next prime is 1309860901. The reversal of 1309860864 is 4680689031.

The square root of 1309860864 is 36192.

It is a perfect power (a square), and thus also a powerful number.

1309860864 is a `hidden beast` number, since 1 + 30 + 9 + 8 + 608 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 167961600 + 1141899264 = 12960^2 + 33792^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 45167602 + ... + 45167630.

Almost surely, 2^1309860864 is an apocalyptic number.

1309860864 is the 36192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1309860864

1309860864 is an abundant number, since it is smaller than the sum of its proper divisors (2931746259).

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

1309860864 is a wasteful number, since it uses less digits than its factorization.

1309860864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The cubic root of 1309860864 is about 1094.1454419741.

The spelling of 1309860864 in words is "one billion, three hundred nine million, eight hundred sixty thousand, eight hundred sixty-four".