823597320 has 256 divisors, whose sum is σ = 3064320000. Its totient is φ = 172440576.

The previous prime is 823597289. The next prime is 823597339. The reversal of 823597320 is 23795328.

It is a super-2 number, since 2×823597320² = 1356625091022364800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2172891 + ... + 2173269.

It is an arithmetic number, because the mean of its divisors is an integer number (11970000).

Almost surely, 2^823597320 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 823597320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532160000).

823597320 is an abundant number, since it is smaller than the sum of its proper divisors (2240722680).

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

823597320 is a wasteful number, since it uses less digits than its factorization.

823597320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 823597320 is about 28698.3853204322. The cubic root of 823597320 is about 937.3568876657.

The spelling of 823597320 in words is "eight hundred twenty-three million, five hundred ninety-seven thousand, three hundred twenty".