189740800 has 108 divisors (see below), whose sum is σ = 490437360. Its totient is φ = 72540160.

The previous prime is 189740767. The next prime is 189740813. The reversal of 189740800 is 8047981.

It is a self number, because there is not a number n which added to its sum of digits gives 189740800.

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 11 ways as a sum of consecutive naturals, for example, 146556 + ... + 147844.

Almost surely, 2^189740800 is an apocalyptic number.

189740800 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 189740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245218680).

189740800 is an abundant number, since it is smaller than the sum of its proper divisors (300696560).

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

189740800 is a wasteful number, since it uses less digits than its factorization.

189740800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 189740800 is about 13774.6433710641. The cubic root of 189740800 is about 574.6281653951.

The spelling of 189740800 in words is "one hundred eighty-nine million, seven hundred forty thousand, eight hundred".