1811960800 has 144 divisors (see below), whose sum is σ = 4846096080. Its totient is φ = 657469440.

The previous prime is 1811960753. The next prime is 1811960807. The reversal of 1811960800 is 80691181.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1811960807) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 612124 + ... + 615076.

It is an arithmetic number, because the mean of its divisors is an integer number (33653445).

Almost surely, 2^1811960800 is an apocalyptic number.

1811960800 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 1811960800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2423048040).

1811960800 is an abundant number, since it is smaller than the sum of its proper divisors (3034135280).

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

1811960800 is a wasteful number, since it uses less digits than its factorization.

1811960800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3045 (or 3032 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 34.

The square root of 1811960800 is about 42567.1328609292. The cubic root of 1811960800 is about 1219.1288235488.

The spelling of 1811960800 in words is "one billion, eight hundred eleven million, nine hundred sixty thousand, eight hundred".