189224064 has 96 divisors (see below), whose sum is σ = 551350800. Its totient is φ = 62283264.

The previous prime is 189224051. The next prime is 189224069. The reversal of 189224064 is 460422981.

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

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

It is not an unprimeable number, because it can be changed into a prime (189224069) 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 11 ways as a sum of consecutive naturals, for example, 94627 + ... + 96605.

Almost surely, 2^189224064 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 189224064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275675400).

189224064 is an abundant number, since it is smaller than the sum of its proper divisors (362126736).

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

189224064 is a wasteful number, since it uses less digits than its factorization.

189224064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082 (or 2067 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 189224064 is about 13755.8737999445. The cubic root of 189224064 is about 574.1060478183.

The spelling of 189224064 in words is "one hundred eighty-nine million, two hundred twenty-four thousand, sixty-four".