359560 has 32 divisors (see below), whose sum is σ = 826200. Its totient is φ = 140800.

The previous prime is 359549. The next prime is 359561. The reversal of 359560 is 65953.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 320356 + 39204 = 566^2 + 198^2 .

It is not an unprimeable number, because it can be changed into a prime (359561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3510 + ... + 3610.

2³⁵⁹⁵⁶⁰ 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 359560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413100).

359560 is an abundant number, since it is smaller than the sum of its proper divisors (466640).

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

359560 is a wasteful number, since it uses less digits than its factorization.

359560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 28.

The square root of 359560 is about 599.6332212278. The cubic root of 359560 is about 71.1088721807.

It can be divided in two parts, 3595 and 60, that added together give a triangular number (3655 = T₈₅).

The spelling of 359560 in words is "three hundred fifty-nine thousand, five hundred sixty".