1820088900 has 576 divisors, whose sum is σ = 7199539200. Its totient is φ = 385482240.

The previous prime is 1820088899. The next prime is 1820088929. The reversal of 1820088900 is 98800281.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23039061 + ... + 23039139.

It is an arithmetic number, because the mean of its divisors is an integer number (12499200).

Almost surely, 2^1820088900 is an apocalyptic number.

1820088900 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 1820088900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3599769600).

1820088900 is an abundant number, since it is smaller than the sum of its proper divisors (5379450300).

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

1820088900 is a wasteful number, since it uses less digits than its factorization.

1820088900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1820088900 is about 42662.4999267507. The cubic root of 1820088900 is about 1220.9490286542.

The spelling of 1820088900 in words is "one billion, eight hundred twenty million, eighty-eight thousand, nine hundred".