1310890944 has 224 divisors, whose sum is σ = 4147718400. Its totient is φ = 360693760.

The previous prime is 1310890937. The next prime is 1310890967. The reversal of 1310890944 is 4490980131.

It is a super-2 number, since 2×1310890944² = 3436870134122422272, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 1040587 + ... + 1041845.

It is an arithmetic number, because the mean of its divisors is an integer number (18516600).

Almost surely, 2^1310890944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1310890944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2073859200).

1310890944 is an abundant number, since it is smaller than the sum of its proper divisors (2836827456).

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

1310890944 is a wasteful number, since it uses less digits than its factorization.

1310890944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 1310890944 is about 36206.2279725464. The cubic root of 1310890944 is about 1094.4321803232.

The spelling of 1310890944 in words is "one billion, three hundred ten million, eight hundred ninety thousand, nine hundred forty-four".