1198328320 has 240 divisors, whose sum is σ = 3438483048. Its totient is φ = 399114240.

The previous prime is 1198328311. The next prime is 1198328333. The reversal of 1198328320 is 238238911.

It can be written as a sum of positive squares in 4 ways, for example, as 457617664 + 740710656 = 21392^2 + 27216^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1198328320.

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 23 ways as a sum of consecutive naturals, for example, 5142924 + ... + 5143156.

Almost surely, 2^1198328320 is an apocalyptic number.

1198328320 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 1198328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719241524).

1198328320 is an abundant number, since it is smaller than the sum of its proper divisors (2240154728).

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

1198328320 is an equidigital number, since it uses as much as digits as its factorization.

1198328320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 1198328320 is about 34616.8791198745. The cubic root of 1198328320 is about 1062.1648884579.

The spelling of 1198328320 in words is "one billion, one hundred ninety-eight million, three hundred twenty-eight thousand, three hundred twenty".