23320800 has 216 divisors, whose sum is σ = 85307040. Its totient is φ = 5990400.

The previous prime is 23320793. The next prime is 23320807. The reversal of 23320800 is 802332.

It is an interprime number because it is at equal distance from previous prime (23320793) and next prime (23320807).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23320807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 295161 + ... + 295239.

It is an arithmetic number, because the mean of its divisors is an integer number (394940).

Almost surely, 2^23320800 is an apocalyptic number.

23320800 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 23320800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42653520).

23320800 is an abundant number, since it is smaller than the sum of its proper divisors (61986240).

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

23320800 is a wasteful number, since it uses less digits than its factorization.

23320800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 23320800 is about 4829.1614178861. The cubic root of 23320800 is about 285.7027900137.

The spelling of 23320800 in words is "twenty-three million, three hundred twenty thousand, eight hundred".