23643200 has 84 divisors (see below), whose sum is σ = 66519552. Its totient is φ = 8102400.

The previous prime is 23643197. The next prime is 23643203. The reversal of 23643200 is 234632.

It is an interprime number because it is at equal distance from previous prime (23643197) and next prime (23643203).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (23643203) 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, 10145 + ... + 12255.

Almost surely, 2^23643200 is an apocalyptic number.

23643200 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 23643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33259776).

23643200 is an abundant number, since it is smaller than the sum of its proper divisors (42876352).

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

23643200 is a wasteful number, since it uses less digits than its factorization.

23643200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140 (or 2125 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 23643200 is about 4862.4273773497. The cubic root of 23643200 is about 287.0133417780.

Adding to 23643200 its reverse (234632), we get a palindrome (23877832).

The spelling of 23643200 in words is "twenty-three million, six hundred forty-three thousand, two hundred".