6506000 has 40 divisors (see below), whose sum is σ = 15736344. Its totient is φ = 2601600.

The previous prime is 6505997. The next prime is 6506023. The reversal of 6506000 is 6056.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 135424 + 6370576 = 368^2 + 2524^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 6506000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 374 + ... + 3626.

Almost surely, 2^6506000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6506000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7868172).

6506000 is an abundant number, since it is smaller than the sum of its proper divisors (9230344).

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

6506000 is a wasteful number, since it uses less digits than its factorization.

6506000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3276 (or 3260 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 6506000 is about 2550.6861821871. The cubic root of 6506000 is about 186.6829634298.

The spelling of 6506000 in words is "six million, five hundred six thousand".