833820 has 48 divisors (see below), whose sum is σ = 2516640. Its totient is φ = 205056.

The previous prime is 833801. The next prime is 833821. The reversal of 833820 is 28338.

833820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 833820.

It is not an unprimeable number, because it can be changed into a prime (833821) by changing a digit.

833820 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, 246 + ... + 1314.

It is an arithmetic number, because the mean of its divisors is an integer number (52430).

2⁸³³⁸²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 833820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258320).

833820 is an abundant number, since it is smaller than the sum of its proper divisors (1682820).

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

833820 is a wasteful number, since it uses less digits than its factorization.

833820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 833820 is about 913.1374485804. The cubic root of 833820 is about 94.1219181579.

It can be divided in two parts, 833 and 820, that added together give a triangular number (1653 = T₅₇).

The spelling of 833820 in words is "eight hundred thirty-three thousand, eight hundred twenty".