189076320 has 72 divisors (see below), whose sum is σ = 645227856. Its totient is φ = 50419968.

The previous prime is 189076313. The next prime is 189076333. The reversal of 189076320 is 23670981.

189076320 is a `hidden beast` number, since 18 + 9 + 0 + 7 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

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, 64212 + ... + 67091.

It is an arithmetic number, because the mean of its divisors is an integer number (8961498).

Almost surely, 2^189076320 is an apocalyptic number.

189076320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

189076320 is an abundant number, since it is smaller than the sum of its proper divisors (456151536).

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

189076320 is a wasteful number, since it uses less digits than its factorization.

189076320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131324 (or 131313 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 189076320 is about 13750.5025362712. The cubic root of 189076320 is about 573.9565904195.

It can be divided in two parts, 1890 and 76320, that added together give a triangular number (78210 = T₃₉₅).

The spelling of 189076320 in words is "one hundred eighty-nine million, seventy-six thousand, three hundred twenty".