360820 has 12 divisors (see below), whose sum is σ = 757764. Its totient is φ = 144320.

The previous prime is 360817. The next prime is 360821. The reversal of 360820 is 28063.

It can be written as a sum of positive squares in 2 ways, for example, as 60516 + 300304 = 246^2 + 548^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360821) 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, 9001 + ... + 9040.

It is an arithmetic number, because the mean of its divisors is an integer number (63147).

2³⁶⁰⁸²⁰ is an apocalyptic number.

It is an amenable number.

360820 is an abundant number, since it is smaller than the sum of its proper divisors (396944).

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

360820 is a wasteful number, since it uses less digits than its factorization.

360820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18050 (or 18048 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 360820 is about 600.6829446555. The cubic root of 360820 is about 71.1918372160.

Adding to 360820 its reverse (28063), we get a palindrome (388883).

The spelling of 360820 in words is "three hundred sixty thousand, eight hundred twenty".