605200 has 60 divisors (see below), whose sum is σ = 1556820. Its totient is φ = 225280.

The previous prime is 605191. The next prime is 605221. The reversal of 605200 is 2506.

It can be written as a sum of positive squares in 6 ways, for example, as 15376 + 589824 = 124^2 + 768^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 6756 + ... + 6844.

It is an arithmetic number, because the mean of its divisors is an integer number (25947).

2⁶⁰⁵²⁰⁰ 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 605200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778410).

605200 is an abundant number, since it is smaller than the sum of its proper divisors (951620).

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

605200 is a wasteful number, since it uses less digits than its factorization.

605200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 605200 is about 777.9460135511. The cubic root of 605200 is about 84.5862243236.

Adding to 605200 its reverse (2506), we get a palindrome (607706).

The spelling of 605200 in words is "six hundred five thousand, two hundred".