195296 has 24 divisors (see below), whose sum is σ = 408240. Its totient is φ = 91648.

The previous prime is 195281. The next prime is 195311. The reversal of 195296 is 692591.

195296 = T₁₄₃ + T₁₄₄ + ... + T₁₅₉.

It is an interprime number because it is at equal distance from previous prime (195281) and next prime (195311).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 195296.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 365 + ... + 723.

It is an arithmetic number, because the mean of its divisors is an integer number (17010).

2¹⁹⁵²⁹⁶ is an apocalyptic number.

195296 is a gapful number since it is divisible by the number (16) 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 195296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204120).

195296 is an abundant number, since it is smaller than the sum of its proper divisors (212944).

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

195296 is a wasteful number, since it uses less digits than its factorization.

195296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 378 counting only the distinct ones).

The product of its digits is 4860, while the sum is 32.

The square root of 195296 is about 441.9230702283. The cubic root of 195296 is about 58.0182265349.

It can be divided in two parts, 1952 and 96, that added together give a 11-th power (2048 = 2¹¹).

The spelling of 195296 in words is "one hundred ninety-five thousand, two hundred ninety-six".