1842820800 has 168 divisors, whose sum is σ = 6095609856. Its totient is φ = 487388160.

The previous prime is 1842820769. The next prime is 1842820801. The reversal of 1842820800 is 80282481.

It is not an unprimeable number, because it can be changed into a prime (1842820801) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 608089 + ... + 611111.

It is an arithmetic number, because the mean of its divisors is an integer number (36283392).

Almost surely, 2^1842820800 is an apocalyptic number.

1842820800 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 1842820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3047804928).

1842820800 is an abundant number, since it is smaller than the sum of its proper divisors (4252789056).

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

1842820800 is a wasteful number, since it uses less digits than its factorization.

1842820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3175 (or 3160 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 1842820800 is about 42928.0887065800. The cubic root of 1842820800 is about 1226.0110048892.

The spelling of 1842820800 in words is "one billion, eight hundred forty-two million, eight hundred twenty thousand, eight hundred".