601200 has 90 divisors (see below), whose sum is σ = 2098824. Its totient is φ = 159360.

The previous prime is 601193. The next prime is 601201. The reversal of 601200 is 2106.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×601200² = 722882880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (601201) by changing a digit.

601200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3517 + ... + 3683.

2⁶⁰¹²⁰⁰ is an apocalyptic number.

601200 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 601200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049412).

601200 is an abundant number, since it is smaller than the sum of its proper divisors (1497624).

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

601200 is a wasteful number, since it uses less digits than its factorization.

601200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 601200 is about 775.3708789992. The cubic root of 601200 is about 84.3994579302.

Adding to 601200 its reverse (2106), we get a palindrome (603306).

The spelling of 601200 in words is "six hundred one thousand, two hundred".