189211600 has 60 divisors (see below), whose sum is σ = 469275520. Its totient is φ = 73238400.

The previous prime is 189211591. The next prime is 189211609. The reversal of 189211600 is 6112981.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (189211591) and next prime (189211609).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189211609) 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 11 ways as a sum of consecutive naturals, for example, 4771 + ... + 20029.

Almost surely, 2^189211600 is an apocalyptic number.

189211600 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 189211600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234637760).

189211600 is an abundant number, since it is smaller than the sum of its proper divisors (280063920).

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

189211600 is a wasteful number, since it uses less digits than its factorization.

189211600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15308 (or 15297 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 28.

The square root of 189211600 is about 13755.4207496536. The cubic root of 189211600 is about 574.0934422776.

The spelling of 189211600 in words is "one hundred eighty-nine million, two hundred eleven thousand, six hundred".