189205648 has 80 divisors (see below), whose sum is σ = 422115840. Its totient is φ = 81561600.

The previous prime is 189205637. The next prime is 189205649. The reversal of 189205648 is 846502981.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (189205649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159618 + ... + 160798.

It is an arithmetic number, because the mean of its divisors is an integer number (5276448).

Almost surely, 2^189205648 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 189205648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211057920).

189205648 is an abundant number, since it is smaller than the sum of its proper divisors (232910192).

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

189205648 is a wasteful number, since it uses less digits than its factorization.

189205648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The square root of 189205648 is about 13755.2043968819. The cubic root of 189205648 is about 574.0874224917.

The spelling of 189205648 in words is "one hundred eighty-nine million, two hundred five thousand, six hundred forty-eight".