189889920 has 448 divisors, whose sum is σ = 762564240. Its totient is φ = 44789760.

The previous prime is 189889913. The next prime is 189889927. The reversal of 189889920 is 29988981.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (189889913) and next prime (189889927).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189889927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5132142 + ... + 5132178.

Almost surely, 2^189889920 is an apocalyptic number.

189889920 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 189889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381282120).

189889920 is an abundant number, since it is smaller than the sum of its proper divisors (572674320).

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

189889920 is an equidigital number, since it uses as much as digits as its factorization.

189889920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The square root of 189889920 is about 13780.0551522844. The cubic root of 189889920 is about 574.7786621321.

The spelling of 189889920 in words is "one hundred eighty-nine million, eight hundred eighty-nine thousand, nine hundred twenty".