823908096 has 432 divisors, whose sum is σ = 2869776000. Its totient is φ = 224501760.

The previous prime is 823908091. The next prime is 823908101. The reversal of 823908096 is 690809328.

It is an interprime number because it is at equal distance from previous prime (823908091) and next prime (823908101).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823908091) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 13964515 + ... + 13964573.

It is an arithmetic number, because the mean of its divisors is an integer number (6643000).

Almost surely, 2^823908096 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 823908096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434888000).

823908096 is an abundant number, since it is smaller than the sum of its proper divisors (2045867904).

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

823908096 is a wasteful number, since it uses less digits than its factorization.

823908096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 823908096 is about 28703.7993304022. The cubic root of 823908096 is about 937.4747735079.

The spelling of 823908096 in words is "eight hundred twenty-three million, nine hundred eight thousand, ninety-six".