189588672 has 168 divisors, whose sum is σ = 669011616. Its totient is φ = 49987584.

The previous prime is 189588667. The next prime is 189588697. The reversal of 189588672 is 276885981.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50608 + ... + 54224.

It is an arithmetic number, because the mean of its divisors is an integer number (3982212).

Almost surely, 2^189588672 is an apocalyptic number.

189588672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189588672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334505808).

189588672 is an abundant number, since it is smaller than the sum of its proper divisors (479422944).

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

189588672 is a wasteful number, since it uses less digits than its factorization.

189588672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3655 (or 3642 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 54.

The square root of 189588672 is about 13769.1202333337. The cubic root of 189588672 is about 574.4745516113.

The spelling of 189588672 in words is "one hundred eighty-nine million, five hundred eighty-eight thousand, six hundred seventy-two".