605600 has 36 divisors (see below), whose sum is σ = 1480374. Its totient is φ = 241920.

The previous prime is 605599. The next prime is 605603. The reversal of 605600 is 6506.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 478864 + 126736 = 692^2 + 356^2 .

It is not an unprimeable number, because it can be changed into a prime (605603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 422 + ... + 1178.

2⁶⁰⁵⁶⁰⁰ 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 605600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740187).

605600 is an abundant number, since it is smaller than the sum of its proper divisors (874774).

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

605600 is a wasteful number, since it uses less digits than its factorization.

605600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 605600 is about 778.2030583337. The cubic root of 605600 is about 84.6048556511.

The spelling of 605600 in words is "six hundred five thousand, six hundred".