6497200 has 60 divisors (see below), whose sum is σ = 16067920. Its totient is φ = 2522880.

The previous prime is 6497177. The next prime is 6497203. The reversal of 6497200 is 27946.

It is not an unprimeable number, because it can be changed into a prime (6497203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14581 + ... + 15019.

Almost surely, 2^6497200 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 6497200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8033960).

6497200 is an abundant number, since it is smaller than the sum of its proper divisors (9570720).

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

6497200 is a wasteful number, since it uses less digits than its factorization.

6497200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 6497200 is about 2548.9605724687. The cubic root of 6497200 is about 186.5987564761.

The spelling of 6497200 in words is "six million, four hundred ninety-seven thousand, two hundred".