1820283840 has 420 divisors, whose sum is σ = 6906667416. Its totient is φ = 456855552.

The previous prime is 1820283833. The next prime is 1820283911. The reversal of 1820283840 is 483820281.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1820283795 and 1820283804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 107075512 + ... + 107075528.

Almost surely, 2^1820283840 is an apocalyptic number.

1820283840 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 1820283840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3453333708).

1820283840 is an abundant number, since it is smaller than the sum of its proper divisors (5086383576).

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

1820283840 is an frugal number, since it uses more digits than its factorization.

1820283840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1820283840 is about 42664.7845418209. The cubic root of 1820283840 is about 1220.9926168743.

The spelling of 1820283840 in words is "one billion, eight hundred twenty million, two hundred eighty-three thousand, eight hundred forty".