189011680 has 144 divisors (see below), whose sum is σ = 529284672. Its totient is φ = 63360000.

The previous prime is 189011659. The next prime is 189011689. The reversal of 189011680 is 86110981.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189011689) 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 23 ways as a sum of consecutive naturals, for example, 251305 + ... + 252055.

It is an arithmetic number, because the mean of its divisors is an integer number (3675588).

Almost surely, 2^189011680 is an apocalyptic number.

189011680 is a gapful number since it is divisible by the number (10) 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 189011680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264642336).

189011680 is an abundant number, since it is smaller than the sum of its proper divisors (340272992).

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

189011680 is a wasteful number, since it uses less digits than its factorization.

189011680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 34.

The square root of 189011680 is about 13748.1518757977. The cubic root of 189011680 is about 573.8911763005.

The spelling of 189011680 in words is "one hundred eighty-nine million, eleven thousand, six hundred eighty".