189061632 has 120 divisors (see below), whose sum is σ = 552972420. Its totient is φ = 62177280.

The previous prime is 189061603. The next prime is 189061637. The reversal of 189061632 is 236160981.

189061632 is a `hidden beast` number, since 1 + 8 + 9 + 0 + 616 + 32 = 666.

189061632 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 176783616 + 12278016 = 13296^2 + 3504^2 .

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

It is not an unprimeable number, because it can be changed into a prime (189061637) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 409882 + ... + 410342.

Almost surely, 2^189061632 is an apocalyptic number.

189061632 is a gapful number since it is divisible by the number (12) 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 189061632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276486210).

189061632 is an abundant number, since it is smaller than the sum of its proper divisors (363910788).

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

189061632 is an equidigital number, since it uses as much as digits as its factorization.

189061632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 189061632 is about 13749.9684363274. The cubic root of 189061632 is about 573.9417278273.

The spelling of 189061632 in words is "one hundred eighty-nine million, sixty-one thousand, six hundred thirty-two".