820360 has 16 divisors (see below), whose sum is σ = 1845900. Its totient is φ = 328128.

The previous prime is 820349. The next prime is 820361. The reversal of 820360 is 63028.

It can be written as a sum of positive squares in 2 ways, for example, as 777924 + 42436 = 882^2 + 206^2 .

It is not an unprimeable number, because it can be changed into a prime (820361) 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, 10215 + ... + 10294.

2⁸²⁰³⁶⁰ is an apocalyptic number.

It is an amenable number.

820360 is an abundant number, since it is smaller than the sum of its proper divisors (1025540).

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

820360 is a wasteful number, since it uses less digits than its factorization.

820360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20520 (or 20516 counting only the distinct ones).

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

The square root of 820360 is about 905.7372687485. The cubic root of 820360 is about 93.6127116444.

Adding to 820360 its reverse (63028), we get a palindrome (883388).

The spelling of 820360 in words is "eight hundred twenty thousand, three hundred sixty".