1183368960 has 288 divisors, whose sum is σ = 4254626880. Its totient is φ = 311427072.

The previous prime is 1183368947. The next prime is 1183369037. The reversal of 1183368960 is 698633811.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3352144 + ... + 3352496.

It is an arithmetic number, because the mean of its divisors is an integer number (14773010).

Almost surely, 2^1183368960 is an apocalyptic number.

1183368960 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 1183368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2127313440).

1183368960 is an abundant number, since it is smaller than the sum of its proper divisors (3071257920).

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

1183368960 is an equidigital number, since it uses as much as digits as its factorization.

1183368960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1183368960 is about 34400.1302323116. The cubic root of 1183368960 is about 1057.7265145277.

The spelling of 1183368960 in words is "one billion, one hundred eighty-three million, three hundred sixty-eight thousand, nine hundred sixty".