8705000 has 40 divisors (see below), whose sum is σ = 20407530. Its totient is φ = 3480000.

The previous prime is 8704981. The next prime is 8705009. The reversal of 8705000 is 5078.

It can be written as a sum of positive squares in 5 ways, for example, as 605284 + 8099716 = 778^2 + 2846^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (8705009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4130 + ... + 5870.

Almost surely, 2^8705000 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 8705000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10203765).

8705000 is an abundant number, since it is smaller than the sum of its proper divisors (11702530).

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

8705000 is a wasteful number, since it uses less digits than its factorization.

8705000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 8705000 is about 2950.4236983864. The cubic root of 8705000 is about 205.7104046519.

The spelling of 8705000 in words is "eight million, seven hundred five thousand".