188120800 has 108 divisors (see below), whose sum is σ = 534340800. Its totient is φ = 64485120.

The previous prime is 188120773. The next prime is 188120809. The reversal of 188120800 is 8021881.

188120800 is digitally balanced in base 3, 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 (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (188120809) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 36801 + ... + 41599.

It is an arithmetic number, because the mean of its divisors is an integer number (4947600).

Almost surely, 2^188120800 is an apocalyptic number.

188120800 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 188120800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267170400).

188120800 is an abundant number, since it is smaller than the sum of its proper divisors (346220000).

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

188120800 is a wasteful number, since it uses less digits than its factorization.

188120800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4833 (or 4813 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 28.

The square root of 188120800 is about 13715.7136161412. The cubic root of 188120800 is about 572.9881041646.

The spelling of 188120800 in words is "one hundred eighty-eight million, one hundred twenty thousand, eight hundred".