8198000 has 40 divisors (see below), whose sum is σ = 19827600. Its totient is φ = 3278400.

The previous prime is 8197967. The next prime is 8198009. The reversal of 8198000 is 8918.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8198009) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 50 + ... + 4049.

It is an arithmetic number, because the mean of its divisors is an integer number (495690).

Almost surely, 2^8198000 is an apocalyptic number.

8198000 is a gapful number since it is divisible by the number (80) 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 8198000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9913800).

8198000 is an abundant number, since it is smaller than the sum of its proper divisors (11629600).

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

8198000 is a wasteful number, since it uses less digits than its factorization.

8198000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4122 (or 4106 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 8198000 is about 2863.2149762112. The cubic root of 8198000 is about 201.6365716385.

The spelling of 8198000 in words is "eight million, one hundred ninety-eight thousand".