189406080 has 256 divisors, whose sum is σ = 683726400. Its totient is φ = 49545216.

The previous prime is 189406073. The next prime is 189406123. The reversal of 189406080 is 80604981.

It is a happy number.

189406080 is a `hidden beast` number, since 1 + 8 + 9 + 40 + 608 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1676104 + ... + 1676216.

Almost surely, 2^189406080 is an apocalyptic number.

189406080 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 189406080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341863200).

189406080 is an abundant number, since it is smaller than the sum of its proper divisors (494320320).

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

189406080 is a wasteful number, since it uses less digits than its factorization.

189406080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 189406080 is about 13762.4881471339. The cubic root of 189406080 is about 574.2900677517.

The spelling of 189406080 in words is "one hundred eighty-nine million, four hundred six thousand, eighty".