601980 has 48 divisors (see below), whose sum is σ = 1720320. Its totient is φ = 157248.

The previous prime is 601969. The next prime is 601981. The reversal of 601980 is 89106.

601980 is a modest number, since divided by 1980 gives 60 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 601980.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (601981) by changing a digit.

601980 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 15 ways as a sum of consecutive naturals, for example, 4677 + ... + 4803.

It is an arithmetic number, because the mean of its divisors is an integer number (35840).

2⁶⁰¹⁹⁸⁰ is an apocalyptic number.

601980 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 601980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860160).

601980 is an abundant number, since it is smaller than the sum of its proper divisors (1118340).

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

601980 is a wasteful number, since it uses less digits than its factorization.

601980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 601980 is about 775.8737010622. The cubic root of 601980 is about 84.4359422547.

The spelling of 601980 in words is "six hundred one thousand, nine hundred eighty".