193320 has 64 divisors (see below), whose sum is σ = 648000. Its totient is φ = 51264.

The previous prime is 193301. The next prime is 193327. The reversal of 193320 is 23391.

193320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 193293 and 193302.

It is not an unprimeable number, because it can be changed into a prime (193327) by changing a digit.

193320 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, 991 + ... + 1169.

It is an arithmetic number, because the mean of its divisors is an integer number (10125).

2¹⁹³³²⁰ is an apocalyptic number.

193320 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 193320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324000).

193320 is an abundant number, since it is smaller than the sum of its proper divisors (454680).

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

193320 is a wasteful number, since it uses less digits than its factorization.

193320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 193320 is about 439.6817030535. The cubic root of 193320 is about 57.8218872023.

It can be divided in two parts, 1933 and 20, that added together give a triangular number (1953 = T₆₂).

The spelling of 193320 in words is "one hundred ninety-three thousand, three hundred twenty".