1117964160 has 256 divisors, whose sum is σ = 4089139200. Its totient is φ = 288368640.

The previous prime is 1117964153. The next prime is 1117964173. The reversal of 1117964160 is 614697111.

1117964160 is a `hidden beast` number, since 1 + 1 + 1 + 7 + 9 + 641 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 534637 + ... + 536723.

It is an arithmetic number, because the mean of its divisors is an integer number (15973200).

Almost surely, 2^1117964160 is an apocalyptic number.

1117964160 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 1117964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044569600).

1117964160 is an abundant number, since it is smaller than the sum of its proper divisors (2971175040).

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

1117964160 is a wasteful number, since it uses less digits than its factorization.

1117964160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 1117964160 is about 33435.9710491560. The cubic root of 1117964160 is about 1037.8692073500.

The spelling of 1117964160 in words is "one billion, one hundred seventeen million, nine hundred sixty-four thousand, one hundred sixty".