363220 has 48 divisors (see below), whose sum is σ = 903168. Its totient is φ = 120960.

The previous prime is 363217. The next prime is 363257. The reversal of 363220 is 22363.

363220 = T₂₆ + T₂₇ + ... + T₁₂₉.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 363194 and 363203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2797 + ... + 2923.

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

2³⁶³²²⁰ 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 363220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451584).

363220 is an abundant number, since it is smaller than the sum of its proper divisors (539948).

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

363220 is a wasteful number, since it uses less digits than its factorization.

363220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 363220 is about 602.6773597871. The cubic root of 363220 is about 71.3493330829.

Adding to 363220 its reverse (22363), we get a palindrome (385583).

The spelling of 363220 in words is "three hundred sixty-three thousand, two hundred twenty".