1315380864 has 128 divisors (see below), whose sum is σ = 4032737280. Its totient is φ = 372096000.

The previous prime is 1315380817. The next prime is 1315380883. The reversal of 1315380864 is 4680835131.

It is a tau number, because it is divible by the number of its divisors (128).

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, 274489 + ... + 279239.

It is an arithmetic number, because the mean of its divisors is an integer number (31505760).

Almost surely, 2^1315380864 is an apocalyptic number.

1315380864 is a gapful number since it is divisible by the number (14) 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 1315380864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016368640).

1315380864 is an abundant number, since it is smaller than the sum of its proper divisors (2717356416).

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

1315380864 is a wasteful number, since it uses less digits than its factorization.

1315380864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4878 (or 4866 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 1315380864 is about 36268.1797723569. The cubic root of 1315380864 is about 1095.6802661918.

The spelling of 1315380864 in words is "one billion, three hundred fifteen million, three hundred eighty thousand, eight hundred sixty-four".