189432320 has 240 divisors, whose sum is σ = 585123264. Its totient is φ = 57139200.

The previous prime is 189432319. The next prime is 189432323. The reversal of 189432320 is 23234981.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (189432323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6110705 + ... + 6110735.

Almost surely, 2^189432320 is an apocalyptic number.

189432320 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 189432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292561632).

189432320 is an abundant number, since it is smaller than the sum of its proper divisors (395690944).

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

189432320 is an equidigital number, since it uses as much as digits as its factorization.

189432320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 189432320 is about 13763.4414301075. The cubic root of 189432320 is about 574.3165869207.

The spelling of 189432320 in words is "one hundred eighty-nine million, four hundred thirty-two thousand, three hundred twenty".