823238064 has 120 divisors (see below), whose sum is σ = 2532129600. Its totient is φ = 247605120.

The previous prime is 823238021. The next prime is 823238071. The reversal of 823238064 is 460832328.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218307 + ... + 222045.

It is an arithmetic number, because the mean of its divisors is an integer number (21101080).

Almost surely, 2^823238064 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 823238064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266064800).

823238064 is an abundant number, since it is smaller than the sum of its proper divisors (1708891536).

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

823238064 is a wasteful number, since it uses less digits than its factorization.

823238064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3903 (or 3894 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 823238064 is about 28692.1254702401. The cubic root of 823238064 is about 937.2205750714.

The spelling of 823238064 in words is "eight hundred twenty-three million, two hundred thirty-eight thousand, sixty-four".