189088080 has 80 divisors (see below), whose sum is σ = 593652480. Its totient is φ = 49780224.

The previous prime is 189088079. The next prime is 189088117. The reversal of 189088080 is 80880981.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13974 + ... + 23946.

It is an arithmetic number, because the mean of its divisors is an integer number (7420656).

Almost surely, 2^189088080 is an apocalyptic number.

189088080 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 189088080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296826240).

189088080 is an abundant number, since it is smaller than the sum of its proper divisors (404564400).

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

189088080 is a wasteful number, since it uses less digits than its factorization.

189088080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10068 (or 10062 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 42.

The square root of 189088080 is about 13750.9301503571. The cubic root of 189088080 is about 573.9684896525.

The spelling of 189088080 in words is "one hundred eighty-nine million, eighty-eight thousand, eighty".