1313832960 has 448 divisors, whose sum is σ = 5157342360. Its totient is φ = 318504960.

The previous prime is 1313832941. The next prime is 1313832967. The reversal of 1313832960 is 692383131.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313832967) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 119439355 + ... + 119439365.

Almost surely, 2^1313832960 is an apocalyptic number.

1313832960 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 1313832960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2578671180).

1313832960 is an abundant number, since it is smaller than the sum of its proper divisors (3843509400).

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

1313832960 is an frugal number, since it uses more digits than its factorization.

1313832960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1313832960 is about 36246.8337927604. The cubic root of 1313832960 is about 1095.2503086993.

The spelling of 1313832960 in words is "one billion, three hundred thirteen million, eight hundred thirty-two thousand, nine hundred sixty".