8216023200 has 576 divisors, whose sum is σ = 34809772032. Its totient is φ = 1632153600.

The previous prime is 8216023159. The next prime is 8216023213. The reversal of 8216023200 is 23206128.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4249434 + ... + 4251366.

It is an arithmetic number, because the mean of its divisors is an integer number (60433632).

Almost surely, 2^8216023200 is an apocalyptic number.

8216023200 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 8216023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17404886016).

8216023200 is an abundant number, since it is smaller than the sum of its proper divisors (26593748832).

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

8216023200 is a wasteful number, since it uses less digits than its factorization.

8216023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 8216023200 is about 90642.2815246836. The cubic root of 8216023200 is about 2017.8422864045.

Adding to 8216023200 its reverse (23206128), we get a palindrome (8239229328).

The spelling of 8216023200 in words is "eight billion, two hundred sixteen million, twenty-three thousand, two hundred".