189112320 has 336 divisors, whose sum is σ = 715609440. Its totient is φ = 47775744.

The previous prime is 189112243. The next prime is 189112331. The reversal of 189112320 is 23211981.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9953271 + ... + 9953289.

It is an arithmetic number, because the mean of its divisors is an integer number (2129790).

Almost surely, 2^189112320 is an apocalyptic number.

189112320 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 189112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357804720).

189112320 is an abundant number, since it is smaller than the sum of its proper divisors (526497120).

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

189112320 is an frugal number, since it uses more digits than its factorization.

189112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 189112320 is about 13751.8115170329. The cubic root of 189112320 is about 573.9930150866.

The spelling of 189112320 in words is "one hundred eighty-nine million, one hundred twelve thousand, three hundred twenty".