820950 has 48 divisors (see below), whose sum is σ = 2197776. Its totient is φ = 201600.

The previous prime is 820927. The next prime is 820957. The reversal of 820950 is 59028.

820950 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 820950.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820957) by changing a digit.

820950 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 23 ways as a sum of consecutive naturals, for example, 1740 + ... + 2160.

It is an arithmetic number, because the mean of its divisors is an integer number (45787).

2⁸²⁰⁹⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098888).

820950 is an abundant number, since it is smaller than the sum of its proper divisors (1376826).

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

820950 is a wasteful number, since it uses less digits than its factorization.

820950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 820950 is about 906.0629117230. The cubic root of 820950 is about 93.6351482431.

Adding to 820950 its reverse (59028), we get a palindrome (879978).

It can be divided in two parts, 820 and 950, that added together give a triangular number (1770 = T₅₉).

The spelling of 820950 in words is "eight hundred twenty thousand, nine hundred fifty".