1310897760 has 144 divisors (see below), whose sum is σ = 4225855536. Its totient is φ = 341466112.

The previous prime is 1310897737. The next prime is 1310897801. The reversal of 1310897760 is 677980131.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 5774767 + ... + 5774993.

It is an arithmetic number, because the mean of its divisors is an integer number (29346219).

Almost surely, 2^1310897760 is an apocalyptic number.

1310897760 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 1310897760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2112927768).

1310897760 is an abundant number, since it is smaller than the sum of its proper divisors (2914957776).

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

1310897760 is an equidigital number, since it uses as much as digits as its factorization.

1310897760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 42.

The square root of 1310897760 is about 36206.3220998764. The cubic root of 1310897760 is about 1094.4340771596.

The spelling of 1310897760 in words is "one billion, three hundred ten million, eight hundred ninety-seven thousand, seven hundred sixty".