6195200 has 108 divisors (see below), whose sum is σ = 16883685. Its totient is φ = 2252800.

The previous prime is 6195181. The next prime is 6195251. The reversal of 6195200 is 25916.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 6071296 + 123904 = 2464^2 + 352^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1760.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 563195 + ... + 563205.

Almost surely, 2^6195200 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 6195200

6195200 is an abundant number, since it is smaller than the sum of its proper divisors (10688485).

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

6195200 is a wasteful number, since it uses less digits than its factorization.

6195200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 6195200 is about 2489.0158697766. The cubic root of 6195200 is about 183.6616339732.

The spelling of 6195200 in words is "six million, one hundred ninety-five thousand, two hundred".