189936800 has 72 divisors (see below), whose sum is σ = 467337276. Its totient is φ = 75376640.

The previous prime is 189936779. The next prime is 189936809. The reversal of 189936800 is 8639981.

189936800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 71301136 + 118635664 = 8444^2 + 10892^2 .

It is not an unprimeable number, because it can be changed into a prime (189936809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108734 + ... + 110466.

Almost surely, 2^189936800 is an apocalyptic number.

189936800 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 189936800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233668638).

189936800 is an abundant number, since it is smaller than the sum of its proper divisors (277400476).

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

189936800 is a wasteful number, since it uses less digits than its factorization.

189936800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 44.

The square root of 189936800 is about 13781.7560564683. The cubic root of 189936800 is about 574.8259586685.

The spelling of 189936800 in words is "one hundred eighty-nine million, nine hundred thirty-six thousand, eight hundred".