1812000 has 96 divisors (see below), whose sum is σ = 5975424. Its totient is φ = 480000.

The previous prime is 1811993. The next prime is 1812037. The reversal of 1812000 is 2181.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11925 + ... + 12075.

It is an arithmetic number, because the mean of its divisors is an integer number (62244).

2^1812000 is an apocalyptic number.

1812000 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 1812000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2987712).

1812000 is an abundant number, since it is smaller than the sum of its proper divisors (4163424).

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

1812000 is a wasteful number, since it uses less digits than its factorization.

1812000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1812000 is about 1346.1054936371. The cubic root of 1812000 is about 121.9137615039.

Adding to 1812000 its reverse (2181), we get a palindrome (1814181).

It can be divided in two parts, 18 and 12000, that multiplied together give a cube (216000 = 60³).

The spelling of 1812000 in words is "one million, eight hundred twelve thousand".