359980 has 24 divisors (see below), whose sum is σ = 776160. Its totient is φ = 140160.

The previous prime is 359929. The next prime is 359981. The reversal of 359980 is 89953.

359980 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (359981) by changing a digit.

359980 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 601 + ... + 1039.

It is an arithmetic number, because the mean of its divisors is an integer number (32340).

2³⁵⁹⁹⁸⁰ 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 359980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388080).

359980 is an abundant number, since it is smaller than the sum of its proper divisors (416180).

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

359980 is a wasteful number, since it uses less digits than its factorization.

359980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The square root of 359980 is about 599.9833331018. The cubic root of 359980 is about 71.1365486975.

The spelling of 359980 in words is "three hundred fifty-nine thousand, nine hundred eighty".