820224168 has 32 divisors (see below), whose sum is σ = 2121271200. Its totient is φ = 263979968.

The previous prime is 820224161. The next prime is 820224169. The reversal of 820224168 is 861422028.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (820224161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 588546 + ... + 589937.

It is an arithmetic number, because the mean of its divisors is an integer number (66289725).

Almost surely, 2^820224168 is an apocalyptic number.

It is an amenable number.

820224168 is an abundant number, since it is smaller than the sum of its proper divisors (1301047032).

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

820224168 is a wasteful number, since it uses less digits than its factorization.

820224168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178521 (or 1178517 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 820224168 is about 28639.5560021450. The cubic root of 820224168 is about 936.0754468368.

The spelling of 820224168 in words is "eight hundred twenty million, two hundred twenty-four thousand, one hundred sixty-eight".