23680200 has 96 divisors (see below), whose sum is σ = 74727360. Its totient is φ = 6201600.

The previous prime is 23680199. The next prime is 23680243. The reversal of 23680200 is 208632.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36277 + ... + 36923.

It is an arithmetic number, because the mean of its divisors is an integer number (778410).

Almost surely, 2^23680200 is an apocalyptic number.

23680200 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 23680200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37363680).

23680200 is an abundant number, since it is smaller than the sum of its proper divisors (51047160).

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

23680200 is a wasteful number, since it uses less digits than its factorization.

23680200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 23680200 is about 4866.2305740686. The cubic root of 23680200 is about 287.1629825325.

Adding to 23680200 its reverse (208632), we get a palindrome (23888832).

The spelling of 23680200 in words is "twenty-three million, six hundred eighty thousand, two hundred".