6485200 has 60 divisors (see below), whose sum is σ = 16114048. Its totient is φ = 2505600.

The previous prime is 6485153. The next prime is 6485203. The reversal of 6485200 is 25846.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6485203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 12139 + ... + 12661.

Almost surely, 2^6485200 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 6485200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8057024).

6485200 is an abundant number, since it is smaller than the sum of its proper divisors (9628848).

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

6485200 is a wasteful number, since it uses less digits than its factorization.

6485200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 6485200 is about 2546.6055839097. The cubic root of 6485200 is about 186.4838061874.

It can be divided in two parts, 64 and 85200, that added together give a square (85264 = 292²).

The spelling of 6485200 in words is "six million, four hundred eighty-five thousand, two hundred".