189720 has 96 divisors (see below), whose sum is σ = 673920. Its totient is φ = 46080.

The previous prime is 189713. The next prime is 189733. The reversal of 189720 is 27981.

It is a congruent number.

It is an unprimeable number.

189720 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6105 + ... + 6135.

It is an arithmetic number, because the mean of its divisors is an integer number (7020).

2¹⁸⁹⁷²⁰ is an apocalyptic number.

189720 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 189720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336960).

189720 is an abundant number, since it is smaller than the sum of its proper divisors (484200).

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

189720 is a wasteful number, since it uses less digits than its factorization.

189720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 189720 is about 435.5685939092. The cubic root of 189720 is about 57.4607167095.

It can be divided in two parts, 189 and 720, that added together give a palindrome (909).

The spelling of 189720 in words is "one hundred eighty-nine thousand, seven hundred twenty".