8085515040 has 192 divisors, whose sum is σ = 28688083200. Its totient is φ = 2126518272.

The previous prime is 8085515029. The next prime is 8085515041. The reversal of 8085515040 is 405155808.

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 = 8085514986 and 8085515004.

It is not an unprimeable number, because it can be changed into a prime (8085515041) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 302541 + ... + 328179.

It is an arithmetic number, because the mean of its divisors is an integer number (149417100).

Almost surely, 2^8085515040 is an apocalyptic number.

8085515040 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 8085515040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14344041600).

8085515040 is an abundant number, since it is smaller than the sum of its proper divisors (20602568160).

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

8085515040 is a wasteful number, since it uses less digits than its factorization.

8085515040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25736 (or 25722 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The square root of 8085515040 is about 89919.4919914475. The cubic root of 8085515040 is about 2007.1010113138.

The spelling of 8085515040 in words is "eight billion, eighty-five million, five hundred fifteen thousand, forty".