361220 has 12 divisors (see below), whose sum is σ = 758604. Its totient is φ = 144480.

The previous prime is 361219. The next prime is 361223. The reversal of 361220 is 22163.

It can be written as a sum of positive squares in 2 ways, for example, as 215296 + 145924 = 464^2 + 382^2 .

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 361195 and 361204.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 361220.

It is not an unprimeable number, because it can be changed into a prime (361223) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9011 + ... + 9050.

It is an arithmetic number, because the mean of its divisors is an integer number (63217).

2³⁶¹²²⁰ is an apocalyptic number.

It is an amenable number.

361220 is an abundant number, since it is smaller than the sum of its proper divisors (397384).

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

361220 is a wasteful number, since it uses less digits than its factorization.

361220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18070 (or 18068 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 361220 is about 601.0158067805. The cubic root of 361220 is about 71.2181349252.

Adding to 361220 its reverse (22163), we get a palindrome (383383).

The spelling of 361220 in words is "three hundred sixty-one thousand, two hundred twenty".