193856 has 28 divisors (see below), whose sum is σ = 416052. Its totient is φ = 89088.

The previous prime is 193847. The next prime is 193859. The reversal of 193856 is 658391.

It can be written as a sum of positive squares in 2 ways, for example, as 33856 + 160000 = 184^2 + 400^2 .

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 193856.

It is not an unprimeable number, because it can be changed into a prime (193859) by changing a digit.

193856 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 3 ways as a sum of consecutive naturals, for example, 716 + ... + 948.

It is an arithmetic number, because the mean of its divisors is an integer number (14859).

2¹⁹³⁸⁵⁶ is an apocalyptic number.

193856 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 193856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208026).

193856 is an abundant number, since it is smaller than the sum of its proper divisors (222196).

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

193856 is a wasteful number, since it uses less digits than its factorization.

193856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 248 counting only the distinct ones).

The product of its digits is 6480, while the sum is 32.

The square root of 193856 is about 440.2908129861. The cubic root of 193856 is about 57.8752769744.

It can be divided in two parts, 19385 and 6, that added together give a palindrome (19391).

The spelling of 193856 in words is "one hundred ninety-three thousand, eight hundred fifty-six".