189527040 has 220 divisors, whose sum is σ = 680643876. Its totient is φ = 50429952.

The previous prime is 189527027. The next prime is 189527047. The reversal of 189527040 is 40725981.

189527040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 119771136 + 69755904 = 10944^2 + 8352^2 .

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 = 189526986 and 189527004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189527047) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 414492 + ... + 414948.

Almost surely, 2^189527040 is an apocalyptic number.

189527040 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 189527040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340321938).

189527040 is an abundant number, since it is smaller than the sum of its proper divisors (491116836).

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

189527040 is an equidigital number, since it uses as much as digits as its factorization.

189527040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 467 counting only the distinct ones).

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

The square root of 189527040 is about 13766.8819999301. The cubic root of 189527040 is about 574.4122942825.

The spelling of 189527040 in words is "one hundred eighty-nine million, five hundred twenty-seven thousand, forty".