823345164 has 72 divisors (see below), whose sum is σ = 2250051440. Its totient is φ = 252968832.

The previous prime is 823345163. The next prime is 823345253. The reversal of 823345164 is 461543328.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (823345163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9042 + ... + 41574.

Almost surely, 2^823345164 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 823345164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125025720).

823345164 is an abundant number, since it is smaller than the sum of its proper divisors (1426706276).

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

823345164 is a wasteful number, since it uses less digits than its factorization.

823345164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32599 (or 32594 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 823345164 is about 28693.9917752829. The cubic root of 823345164 is about 937.2612161996.

The spelling of 823345164 in words is "eight hundred twenty-three million, three hundred forty-five thousand, one hundred sixty-four".