1181160960 has 320 divisors, whose sum is σ = 4374577152. Its totient is φ = 266305536.

The previous prime is 1181160947. The next prime is 1181160961. The reversal of 1181160960 is 690611811.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1181160961) by changing a digit.

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, 6827434 + ... + 6827606.

Almost surely, 2^1181160960 is an apocalyptic number.

1181160960 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 1181160960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2187288576).

1181160960 is an abundant number, since it is smaller than the sum of its proper divisors (3193416192).

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

1181160960 is a wasteful number, since it uses less digits than its factorization.

1181160960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 33.

The square root of 1181160960 is about 34368.0223463615. The cubic root of 1181160960 is about 1057.0682486565.

It can be divided in two parts, 11811 and 60960, that added together give a triangular number (72771 = T₃₈₁).

The spelling of 1181160960 in words is "one billion, one hundred eighty-one million, one hundred sixty thousand, nine hundred sixty".