601000 has 32 divisors (see below), whose sum is σ = 1408680. Its totient is φ = 240000.

The previous prime is 600983. The next prime is 601021. The reversal of 601000 is 106.

It can be written as a sum of positive squares in 4 ways, for example, as 285156 + 315844 = 534^2 + 562^2 .

It is a super-2 number, since 2×601000² = 722402000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 700 + ... + 1300.

2⁶⁰¹⁰⁰⁰ 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 601000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704340).

601000 is an abundant number, since it is smaller than the sum of its proper divisors (807680).

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

601000 is a wasteful number, since it uses less digits than its factorization.

601000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 601000 is about 775.2418977326. The cubic root of 601000 is about 84.3900978927.

Adding to 601000 its reverse (106), we get a palindrome (601106).

The spelling of 601000 in words is "six hundred one thousand".