1116380160 has 264 divisors, whose sum is σ = 4422109536. Its totient is φ = 255098880.

The previous prime is 1116380149. The next prime is 1116380171. The reversal of 1116380160 is 610836111.

1116380160 is a `hidden beast` number, since 1 + 11 + 638 + 0 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1116380149) and next prime (1116380171).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 320830 + ... + 324290.

Almost surely, 2^1116380160 is an apocalyptic number.

1116380160 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 1116380160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2211054768).

1116380160 is an abundant number, since it is smaller than the sum of its proper divisors (3305729376).

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

1116380160 is a wasteful number, since it uses less digits than its factorization.

1116380160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3499 (or 3478 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1116380160 is about 33412.2755884720. The cubic root of 1116380160 is about 1037.3788034748.

The spelling of 1116380160 in words is "one billion, one hundred sixteen million, three hundred eighty thousand, one hundred sixty".