1198315104 has 192 divisors, whose sum is σ = 3819110400. Its totient is φ = 321366528.

The previous prime is 1198315087. The next prime is 1198315127. The reversal of 1198315104 is 4015138911.

It is a super-3 number, since 3×1198315104³ (a number of 28 digits) contains 333 as substring.

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, 1621167 + ... + 1621905.

It is an arithmetic number, because the mean of its divisors is an integer number (19891200).

Almost surely, 2^1198315104 is an apocalyptic number.

1198315104 is a gapful number since it is divisible by the number (14) 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 1198315104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1909555200).

1198315104 is an abundant number, since it is smaller than the sum of its proper divisors (2620795296).

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

1198315104 is a wasteful number, since it uses less digits than its factorization.

1198315104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 33.

The square root of 1198315104 is about 34616.6882298119. The cubic root of 1198315104 is about 1062.1609836787.

The spelling of 1198315104 in words is "one billion, one hundred ninety-eight million, three hundred fifteen thousand, one hundred four".