189621600 has 144 divisors (see below), whose sum is σ = 705454848. Its totient is φ = 43338240.

The previous prime is 189621599. The next prime is 189621613. The reversal of 189621600 is 6126981.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 11157 + ... + 22443.

It is an arithmetic number, because the mean of its divisors is an integer number (4898992).

Almost surely, 2^189621600 is an apocalyptic number.

189621600 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 189621600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352727424).

189621600 is an abundant number, since it is smaller than the sum of its proper divisors (515833248).

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

189621600 is a wasteful number, since it uses less digits than its factorization.

189621600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11317 (or 11304 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 189621600 is about 13770.3159005159. The cubic root of 189621600 is about 574.5078081746.

The spelling of 189621600 in words is "one hundred eighty-nine million, six hundred twenty-one thousand, six hundred".