23312800 has 144 divisors (see below), whose sum is σ = 68245632. Its totient is φ = 7603200.

The previous prime is 23312789. The next prime is 23312803. The reversal of 23312800 is 821332.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (23312803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128710 + ... + 128890.

It is an arithmetic number, because the mean of its divisors is an integer number (473928).

Almost surely, 2^23312800 is an apocalyptic number.

23312800 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 23312800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34122816).

23312800 is an abundant number, since it is smaller than the sum of its proper divisors (44932832).

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

23312800 is a wasteful number, since it uses less digits than its factorization.

23312800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 23312800 is about 4828.3330456794. Note that the first 3 decimals coincide. The cubic root of 23312800 is about 285.6701169818.

The spelling of 23312800 in words is "twenty-three million, three hundred twelve thousand, eight hundred".