1117289376 has 360 divisors, whose sum is σ = 4032262080. Its totient is φ = 301771008.

The previous prime is 1117289323. The next prime is 1117289413. The reversal of 1117289376 is 6739827111.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

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 59 ways as a sum of consecutive naturals, for example, 2412921 + ... + 2413383.

It is an arithmetic number, because the mean of its divisors is an integer number (11200728).

Almost surely, 2^1117289376 is an apocalyptic number.

1117289376 is a gapful number since it is divisible by the number (16) 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 1117289376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016131040).

1117289376 is an abundant number, since it is smaller than the sum of its proper divisors (2914972704).

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

1117289376 is a wasteful number, since it uses less digits than its factorization.

1117289376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 494 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The square root of 1117289376 is about 33425.8788366140. The cubic root of 1117289376 is about 1037.6603519706.

It can be divided in two parts, 111728 and 9376, that added together give a square (121104 = 348²).

The spelling of 1117289376 in words is "one billion, one hundred seventeen million, two hundred eighty-nine thousand, three hundred seventy-six".