8085036960 has 1152 divisors, whose sum is σ = 38041436160. Its totient is φ = 1509580800.

The previous prime is 8085036913. The next prime is 8085037013. The reversal of 8085036960 is 696305808.

8085036960 is a `hidden beast` number, since 80 + 8 + 503 + 6 + 9 + 60 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 102342201 + ... + 102342279.

It is an arithmetic number, because the mean of its divisors is an integer number (33022080).

Almost surely, 2^8085036960 is an apocalyptic number.

8085036960 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 8085036960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19020718080).

8085036960 is an abundant number, since it is smaller than the sum of its proper divisors (29956399200).

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

8085036960 is a wasteful number, since it uses less digits than its factorization.

8085036960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 8085036960 is about 89916.8335741423. The cubic root of 8085036960 is about 2007.0614519388.

The spelling of 8085036960 in words is "eight billion, eighty-five million, thirty-six thousand, nine hundred sixty".