189468 has 36 divisors (see below), whose sum is σ = 505960. Its totient is φ = 59616.

The previous prime is 189467. The next prime is 189473. The reversal of 189468 is 864981.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×189468³ = 20404636719333696, which contains 333 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 546 + ... + 822.

2¹⁸⁹⁴⁶⁸ is an apocalyptic number.

189468 is a gapful number since it is divisible by the number (18) 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 189468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252980).

189468 is an abundant number, since it is smaller than the sum of its proper divisors (316492).

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

189468 is a wasteful number, since it uses less digits than its factorization.

189468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 301 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 189468 is about 435.2792207308. The cubic root of 189468 is about 57.4352642594.

The spelling of 189468 in words is "one hundred eighty-nine thousand, four hundred sixty-eight".