8165075040 has 144 divisors (see below), whose sum is σ = 27973003968. Its totient is φ = 2168782848.

The previous prime is 8165075021. The next prime is 8165075057. The reversal of 8165075040 is 405705618.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8165074986 and 8165075004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 359049 + ... + 381111.

It is an arithmetic number, because the mean of its divisors is an integer number (194256972).

Almost surely, 2^8165075040 is an apocalyptic number.

8165075040 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 8165075040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13986501984).

8165075040 is an abundant number, since it is smaller than the sum of its proper divisors (19807928928).

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

8165075040 is a wasteful number, since it uses less digits than its factorization.

8165075040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22341 (or 22330 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 8165075040 is about 90360.8047772927. The cubic root of 8165075040 is about 2013.6627060310.

The spelling of 8165075040 in words is "eight billion, one hundred sixty-five million, seventy-five thousand, forty".