8243200 has 144 divisors (see below), whose sum is σ = 24373440. Its totient is φ = 2703360.

The previous prime is 8243167. The next prime is 8243201. The reversal of 8243200 is 23428.

It is a happy number.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (8243201) 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, 358389 + ... + 358411.

It is an arithmetic number, because the mean of its divisors is an integer number (169260).

Almost surely, 2^8243200 is an apocalyptic number.

8243200 is a gapful number since it is divisible by the number (80) 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 8243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12186720).

8243200 is an abundant number, since it is smaller than the sum of its proper divisors (16130240).

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

8243200 is a wasteful number, since it uses less digits than its factorization.

8243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 8243200 is about 2871.0973511882. The cubic root of 8243200 is about 202.0064697467.

Adding to 8243200 its reverse (23428), we get a palindrome (8266628).

The spelling of 8243200 in words is "eight million, two hundred forty-three thousand, two hundred".