23864000 has 112 divisors (see below), whose sum is σ = 62605920. Its totient is φ = 8985600.

The previous prime is 23863999. The next prime is 23864021. The reversal of 23864000 is 46832.

It is a happy number.

It is a congruent number.

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, 151922 + ... + 152078.

Almost surely, 2^23864000 is an apocalyptic number.

23864000 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 23864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31302960).

23864000 is an abundant number, since it is smaller than the sum of its proper divisors (38741920).

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

23864000 is a wasteful number, since it uses less digits than its factorization.

23864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 23864000 is about 4885.0793238186. The cubic root of 23864000 is about 287.9040318108.

The spelling of 23864000 in words is "twenty-three million, eight hundred sixty-four thousand".