16001800 has 48 divisors (see below), whose sum is σ = 39171600. Its totient is φ = 6062400.

The previous prime is 16001753. The next prime is 16001801. The reversal of 16001800 is 810061.

16001800 is a modest number, since divided by 1800 gives 1600 as remainder.

It is not an unprimeable number, because it can be changed into a prime (16001801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1695 + ... + 5905.

It is an arithmetic number, because the mean of its divisors is an integer number (816075).

Almost surely, 2^16001800 is an apocalyptic number.

16001800 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 16001800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19585800).

16001800 is an abundant number, since it is smaller than the sum of its proper divisors (23169800).

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

16001800 is a wasteful number, since it uses less digits than its factorization.

16001800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4246 (or 4237 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 16001800 is about 4000.2249936722. The cubic root of 16001800 is about 251.9936590325.

Adding to 16001800 its reverse (810061), we get a palindrome (16811861).

The spelling of 16001800 in words is "sixteen million, one thousand, eight hundred".