8400222860 has 48 divisors (see below), whose sum is σ = 18064946592. Its totient is φ = 3279360000.

The previous prime is 8400222839. The next prime is 8400222871. The reversal of 8400222860 is 682220048.

It is a happy number.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1373810 + ... + 1379910.

It is an arithmetic number, because the mean of its divisors is an integer number (376353054).

Almost surely, 2^8400222860 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8400222860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9032473296).

8400222860 is an abundant number, since it is smaller than the sum of its proper divisors (9664723732).

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

8400222860 is a wasteful number, since it uses less digits than its factorization.

8400222860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7754 (or 7752 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 8400222860 is about 91652.7296920283. The cubic root of 8400222860 is about 2032.8106907796.

The spelling of 8400222860 in words is "eight billion, four hundred million, two hundred twenty-two thousand, eight hundred sixty".