188800 has 48 divisors (see below), whose sum is σ = 474300. Its totient is φ = 74240.

The previous prime is 188791. The next prime is 188801. The reversal of 188800 is 8881.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (188801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3171 + ... + 3229.

2¹⁸⁸⁸⁰⁰ is an apocalyptic number.

188800 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 188800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237150).

188800 is an abundant number, since it is smaller than the sum of its proper divisors (285500).

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

188800 is an equidigital number, since it uses as much as digits as its factorization.

188800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 25.

The square root of 188800 is about 434.5112196480. The cubic root of 188800 is about 57.3676856807.

The spelling of 188800 in words is "one hundred eighty-eight thousand, eight hundred".