23984800 has 72 divisors (see below), whose sum is σ = 66933216. Its totient is φ = 8221440.

The previous prime is 23984797. The next prime is 23984803. The reversal of 23984800 is 848932.

It is an interprime number because it is at equal distance from previous prime (23984797) and next prime (23984803).

It is not an unprimeable number, because it can be changed into a prime (23984803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3459 + ... + 7741.

It is an arithmetic number, because the mean of its divisors is an integer number (929628).

Almost surely, 2^23984800 is an apocalyptic number.

23984800 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 23984800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33466608).

23984800 is an abundant number, since it is smaller than the sum of its proper divisors (42948416).

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

23984800 is a wasteful number, since it uses less digits than its factorization.

23984800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4310 (or 4297 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 23984800 is about 4897.4278963554. The cubic root of 23984800 is about 288.3890062195.

The spelling of 23984800 in words is "twenty-three million, nine hundred eighty-four thousand, eight hundred".