195840 has 108 divisors (see below), whose sum is σ = 717444. Its totient is φ = 49152.

The previous prime is 195817. The next prime is 195863. The reversal of 195840 is 48591.

195840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (195817) and next prime (195863).

It can be written as a sum of positive squares in 2 ways, for example, as 112896 + 82944 = 336^2 + 288^2 .

It is a super-3 number, since 3×195840³ = 22533334106112000, which contains 333 as substring.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

195840 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11512 + ... + 11528.

It is an arithmetic number, because the mean of its divisors is an integer number (6643).

2¹⁹⁵⁸⁴⁰ is an apocalyptic number.

195840 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 195840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358722).

195840 is an abundant number, since it is smaller than the sum of its proper divisors (521604).

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

195840 is a wasteful number, since it uses less digits than its factorization.

195840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 195840 is about 442.5381339501. The cubic root of 195840 is about 58.0720468130.

195840 divided by its product of nonzero digits (1440) gives a triangular number (136 = T₁₆).

It can be divided in two parts, 195 and 840, that added together give a triangular number (1035 = T₄₅).

The spelling of 195840 in words is "one hundred ninety-five thousand, eight hundred forty".