601800 has 96 divisors (see below), whose sum is σ = 2008800. Its totient is φ = 148480.

The previous prime is 601771. The next prime is 601801. The reversal of 601800 is 8106.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 601800.

It is not an unprimeable number, because it can be changed into a prime (601801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10171 + ... + 10229.

It is an arithmetic number, because the mean of its divisors is an integer number (20925).

2⁶⁰¹⁸⁰⁰ is an apocalyptic number.

601800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 601800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004400).

601800 is an abundant number, since it is smaller than the sum of its proper divisors (1407000).

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

601800 is a wasteful number, since it uses less digits than its factorization.

601800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 601800 is about 775.7576941288. The cubic root of 601800 is about 84.4275255937.

Adding to 601800 its reverse (8106), we get a palindrome (609906).

The spelling of 601800 in words is "six hundred one thousand, eight hundred".