189960864 has 96 divisors (see below), whose sum is σ = 523998720. Its totient is φ = 60141312.

The previous prime is 189960863. The next prime is 189960877. The reversal of 189960864 is 468069981.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (189960863) 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, 501027 + ... + 501405.

It is an arithmetic number, because the mean of its divisors is an integer number (5458320).

Almost surely, 2^189960864 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 189960864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261999360).

189960864 is an abundant number, since it is smaller than the sum of its proper divisors (334037856).

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

189960864 is a wasteful number, since it uses less digits than its factorization.

189960864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The square root of 189960864 is about 13782.6290670539. The cubic root of 189960864 is about 574.8502334584.

The spelling of 189960864 in words is "one hundred eighty-nine million, nine hundred sixty thousand, eight hundred sixty-four".