1315644960 has 384 divisors, whose sum is σ = 5183668224. Its totient is φ = 273530880.

The previous prime is 1315644931. The next prime is 1315644971. The reversal of 1315644960 is 694465131.

1315644960 is nontrivially palindromic in base 9.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1770349 + ... + 1771091.

It is an arithmetic number, because the mean of its divisors is an integer number (13499136).

Almost surely, 2^1315644960 is an apocalyptic number.

1315644960 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 1315644960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2591834112).

1315644960 is an abundant number, since it is smaller than the sum of its proper divisors (3868023264).

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

1315644960 is a wasteful number, since it uses less digits than its factorization.

1315644960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 1315644960 is about 36271.8204671340. The cubic root of 1315644960 is about 1095.7535897996.

The spelling of 1315644960 in words is "one billion, three hundred fifteen million, six hundred forty-four thousand, nine hundred sixty".