6485600 has 108 divisors (see below), whose sum is σ = 17662932. Its totient is φ = 2323200.

The previous prime is 6485599. The next prime is 6485629. The reversal of 6485600 is 65846.

6485600 = 70² + 71² + ... + 270².

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 96767 + ... + 96833.

Almost surely, 2^6485600 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 6485600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8831466).

6485600 is an abundant number, since it is smaller than the sum of its proper divisors (11177332).

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

6485600 is a wasteful number, since it uses less digits than its factorization.

6485600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 6485600 is about 2546.6841186138. The cubic root of 6485600 is about 186.4876401472.

The spelling of 6485600 in words is "six million, four hundred eighty-five thousand, six hundred".