189745920 has 432 divisors, whose sum is σ = 812465472. Its totient is φ = 39813120.

The previous prime is 189745877. The next prime is 189745937. The reversal of 189745920 is 29547981.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1048230 + ... + 1048410.

Almost surely, 2^189745920 is an apocalyptic number.

189745920 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 189745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406232736).

189745920 is an abundant number, since it is smaller than the sum of its proper divisors (622719552).

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

189745920 is a wasteful number, since it uses less digits than its factorization.

189745920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 189745920 is about 13774.8292185421. The cubic root of 189745920 is about 574.6333339720.

The spelling of 189745920 in words is "one hundred eighty-nine million, seven hundred forty-five thousand, nine hundred twenty".