189774240 has 96 divisors (see below), whose sum is σ = 612432576. Its totient is φ = 49367040.

The previous prime is 189774239. The next prime is 189774241. The reversal of 189774240 is 42477981.

It is a happy number.

189774240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (189774239) and next prime (189774241).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 189774192 and 189774201.

It is not an unprimeable number, because it can be changed into a prime (189774241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14859 + ... + 24501.

It is an arithmetic number, because the mean of its divisors is an integer number (6379506).

Almost surely, 2^189774240 is an apocalyptic number.

189774240 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 189774240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306216288).

189774240 is an abundant number, since it is smaller than the sum of its proper divisors (422658336).

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

189774240 is a wasteful number, since it uses less digits than its factorization.

189774240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9702 (or 9694 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 189774240 is about 13775.8571421164. The cubic root of 189774240 is about 574.6619209836.

The spelling of 189774240 in words is "one hundred eighty-nine million, seven hundred seventy-four thousand, two hundred forty".