923648000 has 240 divisors, whose sum is σ = 2576272608. Its totient is φ = 327680000.

The previous prime is 923647981. The next prime is 923648003. The reversal of 923648000 is 846329.

It is a super-3 number, since 3×923648000³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (923648003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22527980 + ... + 22528020.

Almost surely, 2^923648000 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 923648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288136304).

923648000 is an abundant number, since it is smaller than the sum of its proper divisors (1652624608).

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

923648000 is an equidigital number, since it uses as much as digits as its factorization.

923648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 923648000 is about 30391.5777806944. The cubic root of 923648000 is about 973.8726395542.

The spelling of 923648000 in words is "nine hundred twenty-three million, six hundred forty-eight thousand".