359120 has 30 divisors (see below), whose sum is σ = 847602. Its totient is φ = 141504.

The previous prime is 359111. The next prime is 359129. The reversal of 359120 is 21953.

It is an interprime number because it is at equal distance from previous prime (359111) and next prime (359129).

It can be written as a sum of positive squares in only one way, i.e., 287296 + 71824 = 536^2 + 268^2 .

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 359092 and 359101.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 359120.

It is not an unprimeable number, because it can be changed into a prime (359129) by changing a digit.

359120 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 5 ways as a sum of consecutive naturals, for example, 5327 + ... + 5393.

2³⁵⁹¹²⁰ 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 359120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423801).

359120 is an abundant number, since it is smaller than the sum of its proper divisors (488482).

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

359120 is an equidigital number, since it uses as much as digits as its factorization.

359120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 359120 is about 599.2662179699. The cubic root of 359120 is about 71.0798546083.

Multiplying 359120 by its sum of digits (20), we get a square (7182400 = 2680²).

359120 divided by its sum of digits (20) gives a square (17956 = 134²).

The spelling of 359120 in words is "three hundred fifty-nine thousand, one hundred twenty".