1312814160 has 240 divisors, whose sum is σ = 5090567040. Its totient is φ = 296985600.

The previous prime is 1312814119. The next prime is 1312814161. The reversal of 1312814160 is 614182131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312814161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 507751 + ... + 510329.

It is an arithmetic number, because the mean of its divisors is an integer number (21210696).

Almost surely, 2^1312814160 is an apocalyptic number.

1312814160 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 1312814160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2545283520).

1312814160 is an abundant number, since it is smaller than the sum of its proper divisors (3777752880).

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

1312814160 is a wasteful number, since it uses less digits than its factorization.

1312814160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2706 (or 2697 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1312814160 is about 36232.7774259716. Note that the first 3 decimals coincide. The cubic root of 1312814160 is about 1094.9671348114.

Adding to 1312814160 its reverse (614182131), we get a palindrome (1926996291).

The spelling of 1312814160 in words is "one billion, three hundred twelve million, eight hundred fourteen thousand, one hundred sixty".