192820 has 24 divisors (see below), whose sum is σ = 419328. Its totient is φ = 74400.

The previous prime is 192817. The next prime is 192833. The reversal of 192820 is 28291.

192820 is nontrivially palindromic in base 6.

192820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 192791 and 192800.

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, 465 + ... + 775.

It is an arithmetic number, because the mean of its divisors is an integer number (17472).

2¹⁹²⁸²⁰ is an apocalyptic number.

192820 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 192820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209664).

192820 is an abundant number, since it is smaller than the sum of its proper divisors (226508).

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

192820 is a wasteful number, since it uses less digits than its factorization.

192820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 192820 is about 439.1127417873. The cubic root of 192820 is about 57.7719942710.

The spelling of 192820 in words is "one hundred ninety-two thousand, eight hundred twenty".