923232000 has 288 divisors, whose sum is σ = 3137621760. Its totient is φ = 240537600.

The previous prime is 923231993. The next prime is 923232007. The reversal of 923232000 is 232329.

It is an interprime number because it is at equal distance from previous prime (923231993) and next prime (923232007).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (923232007) 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 31 ways as a sum of consecutive naturals, for example, 5663919 + ... + 5664081.

It is an arithmetic number, because the mean of its divisors is an integer number (10894520).

Almost surely, 2^923232000 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 923232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568810880).

923232000 is an abundant number, since it is smaller than the sum of its proper divisors (2214389760).

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

923232000 is a wasteful number, since it uses less digits than its factorization.

923232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 923232000 is about 30384.7330085357. The cubic root of 923232000 is about 973.7264107400.

Adding to 923232000 its reverse (232329), we get a palindrome (923464329).

The spelling of 923232000 in words is "nine hundred twenty-three million, two hundred thirty-two thousand".