189697200 has 240 divisors, whose sum is σ = 757975296. Its totient is φ = 39398400.

The previous prime is 189697171. The next prime is 189697241. The reversal of 189697200 is 2796981.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 47 ways as a sum of consecutive naturals, for example, 91374 + ... + 93426.

Almost surely, 2^189697200 is an apocalyptic number.

189697200 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 189697200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378987648).

189697200 is an abundant number, since it is smaller than the sum of its proper divisors (568278096).

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

189697200 is a wasteful number, since it uses less digits than its factorization.

189697200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 189697200 is about 13773.0606620315. The cubic root of 189697200 is about 574.5841479649.

The spelling of 189697200 in words is "one hundred eighty-nine million, six hundred ninety-seven thousand, two hundred".