189667968 has 128 divisors (see below), whose sum is σ = 590163840. Its totient is φ = 52838400.

The previous prime is 189667939. The next prime is 189667993. The reversal of 189667968 is 869766981.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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, 109348 + ... + 111068.

It is an arithmetic number, because the mean of its divisors is an integer number (4610655).

Almost surely, 2^189667968 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 189667968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295081920).

189667968 is an abundant number, since it is smaller than the sum of its proper divisors (400495872).

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

189667968 is a wasteful number, since it uses less digits than its factorization.

189667968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786 (or 1774 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 60.

The square root of 189667968 is about 13771.9994191112. Note that the first 3 decimals coincide. The cubic root of 189667968 is about 574.5546323181.

The spelling of 189667968 in words is "one hundred eighty-nine million, six hundred sixty-seven thousand, nine hundred sixty-eight".