189508320 has 144 divisors (see below), whose sum is σ = 653601312. Its totient is φ = 49996800.

The previous prime is 189508313. The next prime is 189508321. The reversal of 189508320 is 23805981.

189508320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189508321) 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, 144789 + ... + 146091.

It is an arithmetic number, because the mean of its divisors is an integer number (4538898).

Almost surely, 2^189508320 is an apocalyptic number.

189508320 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 189508320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326800656).

189508320 is an abundant number, since it is smaller than the sum of its proper divisors (464092992).

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

189508320 is a wasteful number, since it uses less digits than its factorization.

189508320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 189508320 is about 13766.2020906276. The cubic root of 189508320 is about 574.3933816738.

The spelling of 189508320 in words is "one hundred eighty-nine million, five hundred eight thousand, three hundred twenty".