1809000 has 128 divisors (see below), whose sum is σ = 6364800. Its totient is φ = 475200.

The previous prime is 1808993. The next prime is 1809029. The reversal of 1809000 is 9081.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 26967 + ... + 27033.

It is an arithmetic number, because the mean of its divisors is an integer number (49725).

2^1809000 is an apocalyptic number.

1809000 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 1809000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3182400).

1809000 is an abundant number, since it is smaller than the sum of its proper divisors (4555800).

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

1809000 is a wasteful number, since it uses less digits than its factorization.

1809000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1809000 is about 1344.9907062876. The cubic root of 1809000 is about 121.8464430134.

It can be divided in two parts, 180 and 9000, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 1809000 in words is "one million, eight hundred nine thousand".