196320 has 48 divisors (see below), whose sum is σ = 619920. Its totient is φ = 52224.

The previous prime is 196307. The next prime is 196331. The reversal of 196320 is 23691.

It is a tau number, because it is divible by the number of its divisors (48).

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 196320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 276 + ... + 684.

It is an arithmetic number, because the mean of its divisors is an integer number (12915).

2¹⁹⁶³²⁰ is an apocalyptic number.

196320 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 196320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309960).

196320 is an abundant number, since it is smaller than the sum of its proper divisors (423600).

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

196320 is a wasteful number, since it uses less digits than its factorization.

196320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 196320 is about 443.0801281935. The cubic root of 196320 is about 58.1194525865.

The spelling of 196320 in words is "one hundred ninety-six thousand, three hundred twenty".