1009000 has 32 divisors (see below), whose sum is σ = 2363400. Its totient is φ = 403200.

The previous prime is 1008991. The next prime is 1009007. The reversal of 1009000 is 9001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 209764 + 799236 = 458^2 + 894^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1009007) 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 7 ways as a sum of consecutive naturals, for example, 496 + ... + 1504.

2^1009000 is an apocalyptic number.

1009000 is a gapful number since it is divisible by the number (10) 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 1009000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181700).

1009000 is an abundant number, since it is smaller than the sum of its proper divisors (1354400).

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

1009000 is a wasteful number, since it uses less digits than its factorization.

1009000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 1009000 is about 1004.4899203078. The cubic root of 1009000 is about 100.2991044732.

Subtracting from 1009000 its reverse (9001), we obtain a palindrome (999999).

The spelling of 1009000 in words is "one million, nine thousand".