189093856 has 144 divisors (see below), whose sum is σ = 475324416. Its totient is φ = 72382464.

The previous prime is 189093851. The next prime is 189093857. The reversal of 189093856 is 658390981.

189093856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189093851) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1488865 + ... + 1488991.

It is an arithmetic number, because the mean of its divisors is an integer number (3300864).

Almost surely, 2^189093856 is an apocalyptic number.

189093856 is a gapful number since it is divisible by the number (16) 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 189093856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237662208).

189093856 is an abundant number, since it is smaller than the sum of its proper divisors (286230560).

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

189093856 is a wasteful number, since it uses less digits than its factorization.

189093856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 49.

The square root of 189093856 is about 13751.1401709095. The cubic root of 189093856 is about 573.9743338570.

The spelling of 189093856 in words is "one hundred eighty-nine million, ninety-three thousand, eight hundred fifty-six".