1115084160 has 384 divisors, whose sum is σ = 4238956800. Its totient is φ = 268849152.

The previous prime is 1115084123. The next prime is 1115084171. The reversal of 1115084160 is 614805111.

1115084160 is a `hidden beast` number, since 111 + 508 + 41 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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, 2516899 + ... + 2517341.

It is an arithmetic number, because the mean of its divisors is an integer number (11038950).

Almost surely, 2^1115084160 is an apocalyptic number.

1115084160 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 1115084160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2119478400).

1115084160 is an abundant number, since it is smaller than the sum of its proper divisors (3123872640).

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

1115084160 is a wasteful number, since it uses less digits than its factorization.

1115084160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 1115084160 is about 33392.8758869313. The cubic root of 1115084160 is about 1036.9772187920.

Adding to 1115084160 its reverse (614805111), we get a palindrome (1729889271).

The spelling of 1115084160 in words is "one billion, one hundred fifteen million, eighty-four thousand, one hundred sixty".