1310722560 has 720 divisors, whose sum is σ = 5603453856. Its totient is φ = 292626432.

The previous prime is 1310722513. The next prime is 1310722573. The reversal of 1310722560 is 652270131.

It is a happy number.

1310722560 is a `hidden beast` number, since 1 + 31 + 0 + 72 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30481899 + ... + 30481941.

Almost surely, 2^1310722560 is an apocalyptic number.

1310722560 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 1310722560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2801726928).

1310722560 is an abundant number, since it is smaller than the sum of its proper divisors (4292731296).

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

1310722560 is an frugal number, since it uses more digits than its factorization.

1310722560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 1310722560 is about 36203.9025520730. The cubic root of 1310722560 is about 1094.3853183626.

Adding to 1310722560 its reverse (652270131), we get a palindrome (1962992691).

The spelling of 1310722560 in words is "one billion, three hundred ten million, seven hundred twenty-two thousand, five hundred sixty".