823672384 has 56 divisors (see below), whose sum is σ = 1702612800. Its totient is φ = 394867200.

The previous prime is 823672379. The next prime is 823672441. The reversal of 823672384 is 483276328.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 823672384.

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 7 ways as a sum of consecutive naturals, for example, 278787 + ... + 281725.

It is an arithmetic number, because the mean of its divisors is an integer number (30403800).

Almost surely, 2^823672384 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 823672384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851306400).

823672384 is an abundant number, since it is smaller than the sum of its proper divisors (878940416).

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

823672384 is a wasteful number, since it uses less digits than its factorization.

823672384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3131 (or 3121 counting only the distinct ones).

The product of its digits is 387072, while the sum is 43.

The square root of 823672384 is about 28699.6930994044. The cubic root of 823672384 is about 937.3853642113.

The spelling of 823672384 in words is "eight hundred twenty-three million, six hundred seventy-two thousand, three hundred eighty-four".