1312871680 has 144 divisors (see below), whose sum is σ = 3255356160. Its totient is φ = 507027456.

The previous prime is 1312871653. The next prime is 1312871713. The reversal of 1312871680 is 861782131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8362162 + ... + 8362318.

It is an arithmetic number, because the mean of its divisors is an integer number (22606640).

Almost surely, 2^1312871680 is an apocalyptic number.

1312871680 is a gapful number since it is divisible by the number (10) 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 1312871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627678080).

1312871680 is an abundant number, since it is smaller than the sum of its proper divisors (1942484480).

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

1312871680 is a wasteful number, since it uses less digits than its factorization.

1312871680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 1312871680 is about 36233.5711737057. The cubic root of 1312871680 is about 1094.9831263081.

The spelling of 1312871680 in words is "one billion, three hundred twelve million, eight hundred seventy-one thousand, six hundred eighty".