359680 has 36 divisors (see below), whose sum is σ = 864612. Its totient is φ = 143360.

The previous prime is 359663. The next prime is 359701. The reversal of 359680 is 86953.

It can be written as a sum of positive squares in 2 ways, for example, as 186624 + 173056 = 432^2 + 416^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1140 + ... + 1420.

It is an arithmetic number, because the mean of its divisors is an integer number (24017).

2³⁵⁹⁶⁸⁰ 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 359680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432306).

359680 is an abundant number, since it is smaller than the sum of its proper divisors (504932).

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

359680 is an equidigital number, since it uses as much as digits as its factorization.

359680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 359680 is about 599.7332740477. The cubic root of 359680 is about 71.1167819552.

The spelling of 359680 in words is "three hundred fifty-nine thousand, six hundred eighty".