194832 has 80 divisors (see below), whose sum is σ = 624960. Its totient is φ = 57600.

The previous prime is 194827. The next prime is 194839. The reversal of 194832 is 238491.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a junction number, because it is equal to n+sod(n) for n = 194796 and 194805.

It is not an unprimeable number, because it can be changed into a prime (194839) by changing a digit.

194832 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 15 ways as a sum of consecutive naturals, for example, 4732 + ... + 4772.

It is an arithmetic number, because the mean of its divisors is an integer number (7812).

2¹⁹⁴⁸³² is an apocalyptic number.

194832 is a gapful number since it is divisible by the number (12) 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 194832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312480).

194832 is an abundant number, since it is smaller than the sum of its proper divisors (430128).

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

194832 is a wasteful number, since it uses less digits than its factorization.

194832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 57 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 194832 is about 441.3977797860. The cubic root of 194832 is about 57.9722419692.

It can be divided in two parts, 19 and 4832, that added together give a triangular number (4851 = T₉₈).

The spelling of 194832 in words is "one hundred ninety-four thousand, eight hundred thirty-two".