188720 has 40 divisors (see below), whose sum is σ = 502944. Its totient is φ = 64512.

The previous prime is 188719. The next prime is 188729. The reversal of 188720 is 27881.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 188720.

It is not an unprimeable number, because it can be changed into a prime (188729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 392 + ... + 728.

2¹⁸⁸⁷²⁰ is an apocalyptic number.

188720 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 188720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251472).

188720 is an abundant number, since it is smaller than the sum of its proper divisors (314224).

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

188720 is a wasteful number, since it uses less digits than its factorization.

188720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 188720 is about 434.4191524323. The cubic root of 188720 is about 57.3595817555.

The spelling of 188720 in words is "one hundred eighty-eight thousand, seven hundred twenty".