8006000 has 40 divisors (see below), whose sum is σ = 19363344. Its totient is φ = 3201600.

The previous prime is 8005957. The next prime is 8006003. The reversal of 8006000 is 6008.

It is a happy number.

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

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8006003) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2 + ... + 4001.

Almost surely, 2^8006000 is an apocalyptic number.

8006000 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 8006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9681672).

8006000 is an abundant number, since it is smaller than the sum of its proper divisors (11357344).

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

8006000 is a wasteful number, since it uses less digits than its factorization.

8006000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4026 (or 4010 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 8006000 is about 2829.4875861187. The cubic root of 8006000 is about 200.0499875052.

The spelling of 8006000 in words is "eight million, six thousand".