6555200 has 84 divisors (see below), whose sum is σ = 17149572. Its totient is φ = 2457600.

The previous prime is 6555173. The next prime is 6555223. The reversal of 6555200 is 25556.

It can be written as a sum of positive squares in 6 ways, for example, as 123904 + 6431296 = 352^2 + 2536^2 .

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27080 + ... + 27320.

Almost surely, 2^6555200 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 6555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8574786).

6555200 is an abundant number, since it is smaller than the sum of its proper divisors (10594372).

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

6555200 is a wasteful number, since it uses less digits than its factorization.

6555200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 6555200 is about 2560.3124809288. The cubic root of 6555200 is about 187.1523632655.

The spelling of 6555200 in words is "six million, five hundred fifty-five thousand, two hundred".