820368 has 60 divisors (see below), whose sum is σ = 2392208. Its totient is φ = 272160.

The previous prime is 820367. The next prime is 820399. The reversal of 820368 is 863028.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 11 ways as a sum of consecutive naturals, for example, 3783 + ... + 3993.

2⁸²⁰³⁶⁸ 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 820368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196104).

820368 is an abundant number, since it is smaller than the sum of its proper divisors (1571840).

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

820368 is a wasteful number, since it uses less digits than its factorization.

820368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 820368 is about 905.7416850295. The cubic root of 820368 is about 93.6130159414.

The spelling of 820368 in words is "eight hundred twenty thousand, three hundred sixty-eight".