818320 has 40 divisors (see below), whose sum is σ = 1948536. Its totient is φ = 319488.

The previous prime is 818309. The next prime is 818327. The reversal of 818320 is 23818.

It can be written as a sum of positive squares in 4 ways, for example, as 71824 + 746496 = 268^2 + 864^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 818291 and 818300.

It is not an unprimeable number, because it can be changed into a prime (818327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4144 + ... + 4336.

2⁸¹⁸³²⁰ is an apocalyptic number.

818320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 818320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974268).

818320 is an abundant number, since it is smaller than the sum of its proper divisors (1130216).

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

818320 is a wasteful number, since it uses less digits than its factorization.

818320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 818320 is about 904.6104133825. The cubic root of 818320 is about 93.5350512487.

The spelling of 818320 in words is "eight hundred eighteen thousand, three hundred twenty".