6007000 has 32 divisors (see below), whose sum is σ = 14058720. Its totient is φ = 2402400.

The previous prime is 6006991. The next prime is 6007003. The reversal of 6007000 is 7006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6007003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2004 + ... + 4003.

It is an arithmetic number, because the mean of its divisors is an integer number (439335).

Almost surely, 2^6007000 is an apocalyptic number.

It is an amenable number.

6007000 is an abundant number, since it is smaller than the sum of its proper divisors (8051720).

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

6007000 is a wasteful number, since it uses less digits than its factorization.

6007000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6028 (or 6014 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 6007000 is about 2450.9181952893. The cubic root of 6007000 is about 181.7826976207.

The spelling of 6007000 in words is "six million, seven thousand".