189108480 has 288 divisors, whose sum is σ = 682270848. Its totient is φ = 44605440.

The previous prime is 189108467. The next prime is 189108487. The reversal of 189108480 is 84801981.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (189108487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5111022 + ... + 5111058.

It is an arithmetic number, because the mean of its divisors is an integer number (2368996).

Almost surely, 2^189108480 is an apocalyptic number.

189108480 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 189108480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341135424).

189108480 is an abundant number, since it is smaller than the sum of its proper divisors (493162368).

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

189108480 is an equidigital number, since it uses as much as digits as its factorization.

189108480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 39.

The square root of 189108480 is about 13751.6718983548. The cubic root of 189108480 is about 573.9891300090.

The spelling of 189108480 in words is "one hundred eighty-nine million, one hundred eight thousand, four hundred eighty".