1312960320 has 448 divisors, whose sum is σ = 5609295360. Its totient is φ = 282230784.

The previous prime is 1312960309. The next prime is 1312960321. The reversal of 1312960320 is 230692131.

1312960320 is a `hidden beast` number, since 1 + 31 + 2 + 9 + 603 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312960321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1027522 + ... + 1028798.

Almost surely, 2^1312960320 is an apocalyptic number.

1312960320 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 1312960320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2804647680).

1312960320 is an abundant number, since it is smaller than the sum of its proper divisors (4296335040).

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

1312960320 is a wasteful number, since it uses less digits than its factorization.

1312960320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 1312960320 is about 36234.7943281040. The cubic root of 1312960320 is about 1095.0077687570.

The spelling of 1312960320 in words is "one billion, three hundred twelve million, nine hundred sixty thousand, three hundred twenty".