1317976920 has 480 divisors, whose sum is σ = 5022032400. Its totient is φ = 309464064.

The previous prime is 1317976909. The next prime is 1317976921. The reversal of 1317976920 is 296797131.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1317976921) 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 119 ways as a sum of consecutive naturals, for example, 15879199 + ... + 15879281.

Almost surely, 2^1317976920 is an apocalyptic number.

1317976920 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 1317976920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2511016200).

1317976920 is an abundant number, since it is smaller than the sum of its proper divisors (3704055480).

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

1317976920 is a wasteful number, since it uses less digits than its factorization.

1317976920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 1317976920 is about 36303.9518510038. The cubic root of 1317976920 is about 1096.4006096741.

The spelling of 1317976920 in words is "one billion, three hundred seventeen million, nine hundred seventy-six thousand, nine hundred twenty".