1806160800 has 144 divisors (see below), whose sum is σ = 5902872192. Its totient is φ = 479692800.

The previous prime is 1806160771. The next prime is 1806160819. The reversal of 1806160800 is 80616081.

1806160800 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 649012 + ... + 651788.

It is an arithmetic number, because the mean of its divisors is an integer number (40992168).

Almost surely, 2^1806160800 is an apocalyptic number.

1806160800 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 1806160800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2951436096).

1806160800 is an abundant number, since it is smaller than the sum of its proper divisors (4096711392).

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

1806160800 is a wasteful number, since it uses less digits than its factorization.

1806160800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3071 (or 3058 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 1806160800 is about 42498.9505752789. The cubic root of 1806160800 is about 1217.8266421017.

Adding to 1806160800 its reverse (80616081), we get a palindrome (1886776881).

The spelling of 1806160800 in words is "one billion, eight hundred six million, one hundred sixty thousand, eight hundred".