8158321920 has 288 divisors, whose sum is σ = 29895118848. Its totient is φ = 1857429504.

The previous prime is 8158321891. The next prime is 8158321943. The reversal of 8158321920 is 291238518.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9864547 + ... + 9865373.

It is an arithmetic number, because the mean of its divisors is an integer number (103802496).

Almost surely, 2^8158321920 is an apocalyptic number.

8158321920 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 8158321920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14947559424).

8158321920 is an abundant number, since it is smaller than the sum of its proper divisors (21736796928).

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

8158321920 is a wasteful number, since it uses less digits than its factorization.

8158321920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 8158321920 is about 90323.4295185917. The cubic root of 8158321920 is about 2013.1074036593.

It can be divided in two parts, 8158 and 321920, that added together give a triangular number (330078 = T₈₁₂).

The spelling of 8158321920 in words is "eight billion, one hundred fifty-eight million, three hundred twenty-one thousand, nine hundred twenty".