23800320 has 120 divisors (see below), whose sum is σ = 82506996. Its totient is φ = 6340608.

The previous prime is 23800307. The next prime is 23800321. The reversal of 23800320 is 2300832.

It can be written as a sum of positive squares in 2 ways, for example, as 22581504 + 1218816 = 4752^2 + 1104^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 23800293 and 23800302.

It is not an unprimeable number, because it can be changed into a prime (23800321) 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, 22524 + ... + 23556.

Almost surely, 2^23800320 is an apocalyptic number.

23800320 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 23800320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41253498).

23800320 is an abundant number, since it is smaller than the sum of its proper divisors (58706676).

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

23800320 is a wasteful number, since it uses less digits than its factorization.

23800320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1043 counting only the distinct ones).

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

The square root of 23800320 is about 4878.5571637524. The cubic root of 23800320 is about 287.6477174106.

The spelling of 23800320 in words is "twenty-three million, eight hundred thousand, three hundred twenty".