189648 has 40 divisors (see below), whose sum is σ = 545600. Its totient is φ = 63072.

The previous prime is 189643. The next prime is 189653. The reversal of 189648 is 846981.

It is a happy number.

189648 is a `hidden beast` number, since 1 + 8 + 9 + 648 = 666.

It is an interprime number because it is at equal distance from previous prime (189643) and next prime (189653).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 213 + ... + 651.

It is an arithmetic number, because the mean of its divisors is an integer number (13640).

2¹⁸⁹⁶⁴⁸ is an apocalyptic number.

189648 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 189648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272800).

189648 is an abundant number, since it is smaller than the sum of its proper divisors (355952).

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

189648 is a wasteful number, since it uses less digits than its factorization.

189648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 444 counting only the distinct ones).

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

The square root of 189648 is about 435.4859354790. The cubic root of 189648 is about 57.4534468819.

The spelling of 189648 in words is "one hundred eighty-nine thousand, six hundred forty-eight".