1316307360 has 96 divisors (see below), whose sum is σ = 4171450752. Its totient is φ = 348892160.

The previous prime is 1316307359. The next prime is 1316307367. The reversal of 1316307360 is 637036131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×1316307360³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1316307367) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 71950 + ... + 88370.

It is an arithmetic number, because the mean of its divisors is an integer number (43452612).

Almost surely, 2^1316307360 is an apocalyptic number.

1316307360 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 1316307360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2085725376).

1316307360 is an abundant number, since it is smaller than the sum of its proper divisors (2855143392).

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

1316307360 is a wasteful number, since it uses less digits than its factorization.

1316307360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16606 (or 16598 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 1316307360 is about 36280.9503734398. The cubic root of 1316307360 is about 1095.9374553614.

The spelling of 1316307360 in words is "one billion, three hundred sixteen million, three hundred seven thousand, three hundred sixty".