1181068560 has 240 divisors, whose sum is σ = 4732732800. Its totient is φ = 269934336.

The previous prime is 1181068543. The next prime is 1181068579. The reversal of 1181068560 is 658601811.

1181068560 is a `hidden beast` number, since 11 + 81 + 0 + 6 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 100261 + ... + 111419.

It is an arithmetic number, because the mean of its divisors is an integer number (19719720).

Almost surely, 2^1181068560 is an apocalyptic number.

1181068560 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 1181068560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2366366400).

1181068560 is an abundant number, since it is smaller than the sum of its proper divisors (3551664240).

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

1181068560 is a wasteful number, since it uses less digits than its factorization.

1181068560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11195 (or 11176 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 1181068560 is about 34366.6780472015. The cubic root of 1181068560 is about 1057.0406837841.

The spelling of 1181068560 in words is "one billion, one hundred eighty-one million, sixty-eight thousand, five hundred sixty".