8223600 has 240 divisors, whose sum is σ = 33212160. Its totient is φ = 1689600.

The previous prime is 8223577. The next prime is 8223601. The reversal of 8223600 is 63228.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8223601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92356 + ... + 92444.

It is an arithmetic number, because the mean of its divisors is an integer number (138384).

Almost surely, 2^8223600 is an apocalyptic number.

8223600 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 8223600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16606080).

8223600 is an abundant number, since it is smaller than the sum of its proper divisors (24988560).

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

8223600 is a wasteful number, since it uses less digits than its factorization.

8223600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 117 counting only the distinct ones).

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

The square root of 8223600 is about 2867.6819907375. The cubic root of 8223600 is about 201.8462379188.

Adding to 8223600 its reverse (63228), we get a palindrome (8286828).

The spelling of 8223600 in words is "eight million, two hundred twenty-three thousand, six hundred".