1183009968 has 320 divisors, whose sum is σ = 4122593280. Its totient is φ = 317509632.

The previous prime is 1183009913. The next prime is 1183009981. The reversal of 1183009968 is 8699003811.

It is a super-2 number, since 2×1183009968² = 2799025168774722048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5077180 + ... + 5077412.

It is an arithmetic number, because the mean of its divisors is an integer number (12883104).

Almost surely, 2^1183009968 is an apocalyptic number.

1183009968 is a gapful number since it is divisible by the number (18) 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 1183009968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2061296640).

1183009968 is an abundant number, since it is smaller than the sum of its proper divisors (2939583312).

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

1183009968 is a wasteful number, since it uses less digits than its factorization.

1183009968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 1183009968 is about 34394.9119492985. The cubic root of 1183009968 is about 1057.6195448579.

The spelling of 1183009968 in words is "one billion, one hundred eighty-three million, nine thousand, nine hundred sixty-eight".