193120 has 48 divisors (see below), whose sum is σ = 489888. Its totient is φ = 71680.

The previous prime is 193093. The next prime is 193133. The reversal of 193120 is 21391.

193120 is digitally balanced in base 3, 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 (16).

It is a junction number, because it is equal to n+sod(n) for n = 193094 and 193103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2685 + ... + 2755.

It is an arithmetic number, because the mean of its divisors is an integer number (10206).

2¹⁹³¹²⁰ is an apocalyptic number.

193120 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 193120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244944).

193120 is an abundant number, since it is smaller than the sum of its proper divisors (296768).

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

193120 is a wasteful number, since it uses less digits than its factorization.

193120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 193120 is about 439.4542069431. The cubic root of 193120 is about 57.8019403650.

It can be divided in two parts, 193 and 120, that added together give a palindrome (313).

The spelling of 193120 in words is "one hundred ninety-three thousand, one hundred twenty".