600080 has 40 divisors (see below), whose sum is σ = 1505112. Its totient is φ = 221184.

The previous prime is 600073. The next prime is 600091. The reversal of 600080 is 80006.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 126736 + 473344 = 356^2 + 688^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

600080 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 752 + ... + 1328.

2⁶⁰⁰⁰⁸⁰ 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 600080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752556).

600080 is an abundant number, since it is smaller than the sum of its proper divisors (905032).

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

600080 is a wasteful number, since it uses less digits than its factorization.

600080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 600080 is about 774.6483072982. The cubic root of 600080 is about 84.3470149532.

Adding to 600080 its reverse (80006), we get a palindrome (680086).

The spelling of 600080 in words is "six hundred thousand, eighty".