823985320 has 16 divisors (see below), whose sum is σ = 1853967060. Its totient is φ = 329594112.

The previous prime is 823985311. The next prime is 823985321. The reversal of 823985320 is 23589328.

823985320 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 792647716 + 31337604 = 28154^2 + 5598^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 20599633 = 823985320 / (8 + 2 + 3 + 9 + 8 + 5 + 3 + 2 + 0).

It is not an unprimeable number, because it can be changed into a prime (823985321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10299777 + ... + 10299856.

Almost surely, 2^823985320 is an apocalyptic number.

It is an amenable number.

823985320 is an abundant number, since it is smaller than the sum of its proper divisors (1029981740).

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

823985320 is a wasteful number, since it uses less digits than its factorization.

823985320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20599644 (or 20599640 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 823985320 is about 28705.1444866595. The cubic root of 823985320 is about 937.5040620861.

The spelling of 823985320 in words is "eight hundred twenty-three million, nine hundred eighty-five thousand, three hundred twenty".