195600 has 60 divisors (see below), whose sum is σ = 630416. Its totient is φ = 51840.

The previous prime is 195599. The next prime is 195659. The reversal of 195600 is 6591.

195600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a zygodrome in base 5.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1119 + ... + 1281.

2¹⁹⁵⁶⁰⁰ is an apocalyptic number.

195600 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 195600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315208).

195600 is an abundant number, since it is smaller than the sum of its proper divisors (434816).

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

195600 is a wasteful number, since it uses less digits than its factorization.

195600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 195600 is about 442.2668877499. The cubic root of 195600 is about 58.0483148746.

The spelling of 195600 in words is "one hundred ninety-five thousand, six hundred".