23863200 has 144 divisors (see below), whose sum is σ = 79432416. Its totient is φ = 6220800.

The previous prime is 23863181. The next prime is 23863207. The reversal of 23863200 is 236832.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (23863207) 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, 146319 + ... + 146481.

It is an arithmetic number, because the mean of its divisors is an integer number (551614).

Almost surely, 2^23863200 is an apocalyptic number.

23863200 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 23863200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39716208).

23863200 is an abundant number, since it is smaller than the sum of its proper divisors (55569216).

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

23863200 is a wasteful number, since it uses less digits than its factorization.

23863200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 23863200 is about 4884.9974411457. The cubic root of 23863200 is about 287.9008146105.

The spelling of 23863200 in words is "twenty-three million, eight hundred sixty-three thousand, two hundred".