1181329920 has 320 divisors, whose sum is σ = 4268119680. Its totient is φ = 313528320.

The previous prime is 1181329889. The next prime is 1181329943. The reversal of 1181329920 is 299231811.

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

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 (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5598615 + ... + 5598825.

It is an arithmetic number, because the mean of its divisors is an integer number (13337874).

Almost surely, 2^1181329920 is an apocalyptic number.

1181329920 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 1181329920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2134059840).

1181329920 is an abundant number, since it is smaller than the sum of its proper divisors (3086789760).

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

1181329920 is an frugal number, since it uses more digits than its factorization.

1181329920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 1181329920 is about 34370.4803574230. The cubic root of 1181329920 is about 1057.1186492770.

The spelling of 1181329920 in words is "one billion, one hundred eighty-one million, three hundred twenty-nine thousand, nine hundred twenty".