1310438560 has 48 divisors (see below), whose sum is σ = 3104964576. Its totient is φ = 522642688.

The previous prime is 1310438543. The next prime is 1310438579. The reversal of 1310438560 is 658340131.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43719 + ... + 67321.

It is an arithmetic number, because the mean of its divisors is an integer number (64686762).

Almost surely, 2^1310438560 is an apocalyptic number.

1310438560 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 1310438560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552482288).

1310438560 is an abundant number, since it is smaller than the sum of its proper divisors (1794526016).

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

1310438560 is a wasteful number, since it uses less digits than its factorization.

1310438560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23965 (or 23957 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 1310438560 is about 36199.9801104918. The cubic root of 1310438560 is about 1094.3062708991.

Adding to 1310438560 its reverse (658340131), we get a palindrome (1968778691).

The spelling of 1310438560 in words is "one billion, three hundred ten million, four hundred thirty-eight thousand, five hundred sixty".