8086833920 has 144 divisors (see below), whose sum is σ = 21192192000. Its totient is φ = 2932224000.

The previous prime is 8086833919. The next prime is 8086833929. The reversal of 8086833920 is 293386808.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (8086833929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7025345 + ... + 7026495.

It is an arithmetic number, because the mean of its divisors is an integer number (147168000).

Almost surely, 2^8086833920 is an apocalyptic number.

8086833920 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 8086833920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10596096000).

8086833920 is an abundant number, since it is smaller than the sum of its proper divisors (13105358080).

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

8086833920 is a wasteful number, since it uses less digits than its factorization.

8086833920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 47.

The square root of 8086833920 is about 89926.8253637367. The cubic root of 8086833920 is about 2007.2101357358.

The spelling of 8086833920 in words is "eight billion, eighty-six million, eight hundred thirty-three thousand, nine hundred twenty".