820620 has 72 divisors (see below), whose sum is σ = 2568384. Its totient is φ = 211968.

The previous prime is 820619. The next prime is 820627. The reversal of 820620 is 26028.

820620 is nontrivially palindromic in base 16.

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 = 820593 and 820602.

It is not an unprimeable number, because it can be changed into a prime (820627) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8412 + ... + 8508.

It is an arithmetic number, because the mean of its divisors is an integer number (35672).

2⁸²⁰⁶²⁰ 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 820620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284192).

820620 is an abundant number, since it is smaller than the sum of its proper divisors (1747764).

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

820620 is a wasteful number, since it uses less digits than its factorization.

820620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 820620 is about 905.8807868588. The cubic root of 820620 is about 93.6226002844.

Adding to 820620 its reverse (26028), we get a palindrome (846648).

The spelling of 820620 in words is "eight hundred twenty thousand, six hundred twenty".