189086240 has 96 divisors (see below), whose sum is σ = 540618624. Its totient is φ = 61009920.

The previous prime is 189086237. The next prime is 189086273. The reversal of 189086240 is 42680981.

It is a junction number, because it is equal to n+sod(n) for n = 189086194 and 189086203.

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 15 ways as a sum of consecutive naturals, for example, 14075 + ... + 24005.

It is an arithmetic number, because the mean of its divisors is an integer number (5631444).

Almost surely, 2^189086240 is an apocalyptic number.

189086240 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 189086240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270309312).

189086240 is an abundant number, since it is smaller than the sum of its proper divisors (351532384).

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

189086240 is a wasteful number, since it uses less digits than its factorization.

189086240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9970 (or 9962 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 189086240 is about 13750.8632456293. The cubic root of 189086240 is about 573.9666279003.

The spelling of 189086240 in words is "one hundred eighty-nine million, eighty-six thousand, two hundred forty".