8168065920 has 896 divisors, whose sum is σ = 34837145280. Its totient is φ = 1791590400.

The previous prime is 8168065909. The next prime is 8168065931. The reversal of 8168065920 is 295608618.

It is an interprime number because it is at equal distance from previous prime (8168065909) and next prime (8168065931).

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 111 ways as a sum of consecutive naturals, for example, 133902690 + ... + 133902750.

Almost surely, 2^8168065920 is an apocalyptic number.

8168065920 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 8168065920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17418572640).

8168065920 is an abundant number, since it is smaller than the sum of its proper divisors (26669079360).

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

8168065920 is an equidigital number, since it uses as much as digits as its factorization.

8168065920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 8168065920 is about 90377.3529154290. The cubic root of 8168065920 is about 2013.9085453025.

The spelling of 8168065920 in words is "eight billion, one hundred sixty-eight million, sixty-five thousand, nine hundred twenty".