189705240 has 192 divisors, whose sum is σ = 662407200. Its totient is φ = 48771072.

The previous prime is 189705239. The next prime is 189705277. The reversal of 189705240 is 42507981.

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

It is a junction number, because it is equal to n+sod(n) for n = 189705195 and 189705204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 281544 + ... + 282216.

Almost surely, 2^189705240 is an apocalyptic number.

189705240 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 189705240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331203600).

189705240 is an abundant number, since it is smaller than the sum of its proper divisors (472701960).

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

189705240 is a wasteful number, since it uses less digits than its factorization.

189705240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 189705240 is about 13773.3525330618. The cubic root of 189705240 is about 574.5922654477.

The spelling of 189705240 in words is "one hundred eighty-nine million, seven hundred five thousand, two hundred forty".