189540 has 84 divisors (see below), whose sum is σ = 642684. Its totient is φ = 46656.

The previous prime is 189529. The next prime is 189547. The reversal of 189540 is 45981.

189540 is an esthetic number in base 4, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 46656 + 142884 = 216^2 + 378^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189547) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 14574 + ... + 14586.

It is an arithmetic number, because the mean of its divisors is an integer number (7651).

2¹⁸⁹⁵⁴⁰ is an apocalyptic number.

189540 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 189540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321342).

189540 is an abundant number, since it is smaller than the sum of its proper divisors (453144).

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

189540 is a wasteful number, since it uses less digits than its factorization.

189540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 189540 is about 435.3619184081. The cubic root of 189540 is about 57.4425386897.

It can be divided in two parts, 189 and 540, that added together give a 6-th power (729 = 3⁶).

The spelling of 189540 in words is "one hundred eighty-nine thousand, five hundred forty".