189569664 has 96 divisors (see below), whose sum is σ = 552676800. Its totient is φ = 62360064.

The previous prime is 189569603. The next prime is 189569683. The reversal of 189569664 is 466965981.

It is a happy number.

189569664 is a `hidden beast` number, since 18 + 9 + 569 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 189569664.

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 11 ways as a sum of consecutive naturals, for example, 89967 + ... + 92049.

It is an arithmetic number, because the mean of its divisors is an integer number (5757050).

Almost surely, 2^189569664 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 189569664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276338400).

189569664 is an abundant number, since it is smaller than the sum of its proper divisors (363107136).

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

189569664 is a wasteful number, since it uses less digits than its factorization.

189569664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2182 (or 2167 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 189569664 is about 13768.4299758542. The cubic root of 189569664 is about 574.4553521920.

The spelling of 189569664 in words is "one hundred eighty-nine million, five hundred sixty-nine thousand, six hundred sixty-four".