189835200 has 126 divisors (see below), whose sum is σ = 674770304. Its totient is φ = 50618880.

The previous prime is 189835171. The next prime is 189835201. The reversal of 189835200 is 2538981.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189835201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7809 + ... + 20991.

Almost surely, 2^189835200 is an apocalyptic number.

189835200 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 189835200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337385152).

189835200 is an abundant number, since it is smaller than the sum of its proper divisors (484935104).

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

189835200 is a wasteful number, since it uses less digits than its factorization.

189835200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13211 (or 13193 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 189835200 is about 13778.0695309611. The cubic root of 189835200 is about 574.7234460891.

The spelling of 189835200 in words is "one hundred eighty-nine million, eight hundred thirty-five thousand, two hundred".