1820082820 has 24 divisors (see below), whose sum is σ = 3828434904. Its totient is φ = 726840576.

The previous prime is 1820082791. The next prime is 1820082853. The reversal of 1820082820 is 282800281.

It can be written as a sum of positive squares in 4 ways, for example, as 10771524 + 1809311296 = 3282^2 + 42536^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61969 + ... + 86488.

It is an arithmetic number, because the mean of its divisors is an integer number (159518121).

Almost surely, 2^1820082820 is an apocalyptic number.

1820082820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1820082820 is an abundant number, since it is smaller than the sum of its proper divisors (2008352084).

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

1820082820 is a wasteful number, since it uses less digits than its factorization.

1820082820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149079 (or 149077 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 1820082820 is about 42662.4286697323. The cubic root of 1820082820 is about 1220.9476691275.

The spelling of 1820082820 in words is "one billion, eight hundred twenty million, eighty-two thousand, eight hundred twenty".