1198368000 has 576 divisors, whose sum is σ = 4719187200. Its totient is φ = 298598400.

The previous prime is 1198367983. The next prime is 1198368037. The reversal of 1198368000 is 8638911.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16415964 + ... + 16416036.

Almost surely, 2^1198368000 is an apocalyptic number.

1198368000 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 1198368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359593600).

1198368000 is an abundant number, since it is smaller than the sum of its proper divisors (3520819200).

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

1198368000 is an equidigital number, since it uses as much as digits as its factorization.

1198368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1198368000 is about 34617.4522459409. The cubic root of 1198368000 is about 1062.1766120780.

The spelling of 1198368000 in words is "one billion, one hundred ninety-eight million, three hundred sixty-eight thousand".