1117589880 has 192 divisors, whose sum is σ = 3880195200. Its totient is φ = 256608000.

The previous prime is 1117589831. The next prime is 1117589903. The reversal of 1117589880 is 889857111.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 273855 + ... + 277905.

It is an arithmetic number, because the mean of its divisors is an integer number (20209350).

Almost surely, 2^1117589880 is an apocalyptic number.

1117589880 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 1117589880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940097600).

1117589880 is an abundant number, since it is smaller than the sum of its proper divisors (2762605320).

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

1117589880 is a wasteful number, since it uses less digits than its factorization.

With its successor (1117589881) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (4091).

1117589880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4106 (or 4091 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 48.

The square root of 1117589880 is about 33430.3736144244. The cubic root of 1117589880 is about 1037.7533726752.

The spelling of 1117589880 in words is "one billion, one hundred seventeen million, five hundred eighty-nine thousand, eight hundred eighty".