8005998 has 128 divisors (see below), whose sum is σ = 22708224. Its totient is φ = 1814400.

The previous prime is 8005957. The next prime is 8006003. The reversal of 8005998 is 8995008.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

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, 186165 + ... + 186207.

It is an arithmetic number, because the mean of its divisors is an integer number (177408).

Almost surely, 2^8005998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8005998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11354112).

8005998 is an abundant number, since it is smaller than the sum of its proper divisors (14702226).

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

8005998 is a wasteful number, since it uses less digits than its factorization.

8005998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110.

The product of its (nonzero) digits is 25920, while the sum is 39.

The square root of 8005998 is about 2829.4872326978. The cubic root of 8005998 is about 200.0499708469.

The spelling of 8005998 in words is "eight million, five thousand, nine hundred ninety-eight".