188480 has 56 divisors (see below), whose sum is σ = 487680. Its totient is φ = 69120.

The previous prime is 188473. The next prime is 188483. The reversal of 188480 is 84881.

188480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (188483) by changing a digit.

188480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6065 + ... + 6095.

2¹⁸⁸⁴⁸⁰ is an apocalyptic number.

188480 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 188480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243840).

188480 is an abundant number, since it is smaller than the sum of its proper divisors (299200).

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

188480 is a wasteful number, since it uses less digits than its factorization.

188480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 29.

The square root of 188480 is about 434.1428336389. The cubic root of 188480 is about 57.3352562302.

The spelling of 188480 in words is "one hundred eighty-eight thousand, four hundred eighty".