193848000 has 224 divisors, whose sum is σ = 659026368. Its totient is φ = 50176000.

The previous prime is 193847989. The next prime is 193848019. The reversal of 193848000 is 848391.

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 31 ways as a sum of consecutive naturals, for example, 983902 + ... + 984098.

It is an arithmetic number, because the mean of its divisors is an integer number (2942082).

Almost surely, 2^193848000 is an apocalyptic number.

193848000 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 193848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329513184).

193848000 is an abundant number, since it is smaller than the sum of its proper divisors (465178368).

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

193848000 is a wasteful number, since it uses less digits than its factorization.

193848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 193848000 is about 13922.9307259643. The cubic root of 193848000 is about 578.7448083601.

The spelling of 193848000 in words is "one hundred ninety-three million, eight hundred forty-eight thousand".