23808000 has 192 divisors, whose sum is σ = 81768960. Its totient is φ = 6144000.

The previous prime is 23807963. The next prime is 23808047. The reversal of 23808000 is 80832.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 767985 + ... + 768015.

It is an arithmetic number, because the mean of its divisors is an integer number (425880).

Almost surely, 2^23808000 is an apocalyptic number.

23808000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40884480).

23808000 is an abundant number, since it is smaller than the sum of its proper divisors (57960960).

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

23808000 is an equidigital number, since it uses as much as digits as its factorization.

23808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 23808000 is about 4879.3442182326. The cubic root of 23808000 is about 287.6786539259.

Adding to 23808000 its reverse (80832), we get a palindrome (23888832).

The spelling of 23808000 in words is "twenty-three million, eight hundred eight thousand".