1317116720 has 80 divisors (see below), whose sum is σ = 3138549120. Its totient is φ = 513810432.

The previous prime is 1317116711. The next prime is 1317116761. The reversal of 1317116720 is 276117131.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 1627676 + ... + 1628484.

It is an arithmetic number, because the mean of its divisors is an integer number (39231864).

Almost surely, 2^1317116720 is an apocalyptic number.

1317116720 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 1317116720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569274560).

1317116720 is an abundant number, since it is smaller than the sum of its proper divisors (1821432400).

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

1317116720 is a wasteful number, since it uses less digits than its factorization.

1317116720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 29.

The square root of 1317116720 is about 36292.1027222177. The cubic root of 1317116720 is about 1096.1620296083.

The spelling of 1317116720 in words is "one billion, three hundred seventeen million, one hundred sixteen thousand, seven hundred twenty".