23968000 has 144 divisors (see below), whose sum is σ = 68874624. Its totient is φ = 8140800.

The previous prime is 23967989. The next prime is 23968019. The reversal of 23968000 is 86932.

It is a super-3 number, since 3×23968000³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 23968000.

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 15 ways as a sum of consecutive naturals, for example, 223947 + ... + 224053.

It is an arithmetic number, because the mean of its divisors is an integer number (478296).

Almost surely, 2^23968000 is an apocalyptic number.

23968000 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 23968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34437312).

23968000 is an abundant number, since it is smaller than the sum of its proper divisors (44906624).

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

23968000 is an equidigital number, since it uses as much as digits as its factorization.

23968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 23968000 is about 4895.7124098542. The cubic root of 23968000 is about 288.3216570797.

The spelling of 23968000 in words is "twenty-three million, nine hundred sixty-eight thousand".