195696000 has 320 divisors, whose sum is σ = 731633760. Its totient is φ = 51840000.

The previous prime is 195695977. The next prime is 195696047. The reversal of 195696000 is 696591.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1295925 + ... + 1296075.

Almost surely, 2^195696000 is an apocalyptic number.

195696000 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 195696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365816880).

195696000 is an abundant number, since it is smaller than the sum of its proper divisors (535937760).

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

195696000 is an equidigital number, since it uses as much as digits as its factorization.

195696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 195696000 is about 13989.1386439623. The cubic root of 195696000 is about 580.5780997819.

The spelling of 195696000 in words is "one hundred ninety-five million, six hundred ninety-six thousand".