189952 has 40 divisors (see below), whose sum is σ = 441936. Its totient is φ = 79872.

The previous prime is 189949. The next prime is 189961. The reversal of 189952 is 259981.

189952 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 an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3558 + ... + 3610.

2¹⁸⁹⁹⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220968).

189952 is an abundant number, since it is smaller than the sum of its proper divisors (251984).

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

189952 is an frugal number, since it uses more digits than its factorization.

189952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 62 counting only the distinct ones).

The product of its digits is 6480, while the sum is 34.

The square root of 189952 is about 435.8348311000. The cubic root of 189952 is about 57.4841292052.

The spelling of 189952 in words is "one hundred eighty-nine thousand, nine hundred fifty-two".