1820900 has 36 divisors (see below), whose sum is σ = 4010160. Its totient is φ = 717600.

The previous prime is 1820899. The next prime is 1820927. The reversal of 1820900 is 90281.

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

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 11 ways as a sum of consecutive naturals, for example, 13031 + ... + 13169.

2^1820900 is an apocalyptic number.

1820900 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 1820900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2005080).

1820900 is an abundant number, since it is smaller than the sum of its proper divisors (2189260).

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

1820900 is a wasteful number, since it uses less digits than its factorization.

1820900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 1820900 is about 1349.4072772888. The cubic root of 1820900 is about 122.1130368640.

The spelling of 1820900 in words is "one million, eight hundred twenty thousand, nine hundred".