8165905920 has 640 divisors, whose sum is σ = 31049441280. Its totient is φ = 2030469120.

The previous prime is 8165905879. The next prime is 8165905933. The reversal of 8165905920 is 295095618.

8165905920 is a `hidden beast` number, since 8 + 1 + 6 + 59 + 0 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79280589 + ... + 79280691.

It is an arithmetic number, because the mean of its divisors is an integer number (48514752).

Almost surely, 2^8165905920 is an apocalyptic number.

8165905920 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 8165905920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15524720640).

8165905920 is an abundant number, since it is smaller than the sum of its proper divisors (22883535360).

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

8165905920 is a wasteful number, since it uses less digits than its factorization.

8165905920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 8165905920 is about 90365.4022289504. The cubic root of 8165905920 is about 2013.7310073147.

The spelling of 8165905920 in words is "eight billion, one hundred sixty-five million, nine hundred five thousand, nine hundred twenty".