1315387920 has 640 divisors, whose sum is σ = 5553930240. Its totient is φ = 249200640.

The previous prime is 1315387907. The next prime is 1315387921. The reversal of 1315387920 is 297835131.

It is not an unprimeable number, because it can be changed into a prime (1315387921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16650441 + ... + 16650519.

It is an arithmetic number, because the mean of its divisors is an integer number (8678016).

Almost surely, 2^1315387920 is an apocalyptic number.

1315387920 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 1315387920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2776965120).

1315387920 is an abundant number, since it is smaller than the sum of its proper divisors (4238542320).

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

1315387920 is a wasteful number, since it uses less digits than its factorization.

1315387920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 1315387920 is about 36268.2770475797. The cubic root of 1315387920 is about 1095.6822253471.

The spelling of 1315387920 in words is "one billion, three hundred fifteen million, three hundred eighty-seven thousand, nine hundred twenty".