360220 has 48 divisors (see below), whose sum is σ = 903168. Its totient is φ = 118080.

The previous prime is 360197. The next prime is 360223. The reversal of 360220 is 22063.

360220 = T₂₃₉ + T₂₄₀ + ... + T₂₅₀.

It is a self number, because there is not a number n which added to its sum of digits gives 360220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360223) by changing a digit.

360220 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, 4299 + ... + 4381.

It is an arithmetic number, because the mean of its divisors is an integer number (18816).

2³⁶⁰²²⁰ 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 360220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451584).

360220 is an abundant number, since it is smaller than the sum of its proper divisors (542948).

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

360220 is a wasteful number, since it uses less digits than its factorization.

360220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 360220 is about 600.1833053326. The cubic root of 360220 is about 71.1523541857.

Adding to 360220 its reverse (22063), we get a palindrome (382283).

The spelling of 360220 in words is "three hundred sixty thousand, two hundred twenty".