6009000 has 64 divisors (see below), whose sum is σ = 18757440. Its totient is φ = 1601600.

The previous prime is 6008993. The next prime is 6009011. The reversal of 6009000 is 9006.

It is a super-2 number, since 2×6009000² = 72216162000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1999 + ... + 4001.

It is an arithmetic number, because the mean of its divisors is an integer number (293085).

Almost surely, 2^6009000 is an apocalyptic number.

6009000 is a gapful number since it is divisible by the number (60) 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 6009000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9378720).

6009000 is an abundant number, since it is smaller than the sum of its proper divisors (12748440).

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

6009000 is a wasteful number, since it uses less digits than its factorization.

6009000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2027 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 6009000 is about 2451.3261716875. The cubic root of 6009000 is about 181.8028699227.

The spelling of 6009000 in words is "six million, nine thousand".