9605000 has 80 divisors (see below), whose sum is σ = 24039180. Its totient is φ = 3584000.

The previous prime is 9604993. The next prime is 9605027. The reversal of 9605000 is 5069.

It can be written as a sum of positive squares in 10 ways, for example, as 1909924 + 7695076 = 1382^2 + 2774^2 .

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 84944 + ... + 85056.

Almost surely, 2^9605000 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 9605000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12019590).

9605000 is an abundant number, since it is smaller than the sum of its proper divisors (14434180).

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

9605000 is a wasteful number, since it uses less digits than its factorization.

9605000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 9605000 is about 3099.1934434623. The cubic root of 9605000 is about 212.5686052995.

The spelling of 9605000 in words is "nine million, six hundred five thousand".