8505000 has 240 divisors, whose sum is σ = 34114080. Its totient is φ = 1944000.

The previous prime is 8504987. The next prime is 8505001. The reversal of 8505000 is 5058.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (8505001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1214997 + ... + 1215003.

It is an arithmetic number, because the mean of its divisors is an integer number (142142).

Almost surely, 2^8505000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17057040).

8505000 is an abundant number, since it is smaller than the sum of its proper divisors (25609080).

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

8505000 is an equidigital number, since it uses as much as digits as its factorization.

8505000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 8505000 is about 2916.3333142835. Note that the first 4 decimals coincide. The cubic root of 8505000 is about 204.1227634786.

The spelling of 8505000 in words is "eight million, five hundred five thousand".