189696000 has 384 divisors, whose sum is σ = 715478400. Its totient is φ = 44236800.

The previous prime is 189695999. The next prime is 189696007. The reversal of 189696000 is 696981.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 189696000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189696007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9983991 + ... + 9984009.

It is an arithmetic number, because the mean of its divisors is an integer number (1863225).

Almost surely, 2^189696000 is an apocalyptic number.

189696000 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 189696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357739200).

189696000 is an abundant number, since it is smaller than the sum of its proper divisors (525782400).

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

189696000 is a wasteful number, since it uses less digits than its factorization.

189696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 189696000 is about 13773.0170986607. The cubic root of 189696000 is about 574.5829363806.

The spelling of 189696000 in words is "one hundred eighty-nine million, six hundred ninety-six thousand".