195568000 has 128 divisors (see below), whose sum is σ = 515548800. Its totient is φ = 73523200.

The previous prime is 195567997. The next prime is 195568027. The reversal of 195568000 is 865591.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271641 + ... + 272359.

It is an arithmetic number, because the mean of its divisors is an integer number (4027725).

Almost surely, 2^195568000 is an apocalyptic number.

195568000 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 195568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257774400).

195568000 is an abundant number, since it is smaller than the sum of its proper divisors (319980800).

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

195568000 is an equidigital number, since it uses as much as digits as its factorization.

195568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 34.

The square root of 195568000 is about 13984.5629177318. The cubic root of 195568000 is about 580.4514914966.

It can be divided in two parts, 19556 and 8000, that added together give a square (27556 = 166²).

The spelling of 195568000 in words is "one hundred ninety-five million, five hundred sixty-eight thousand".