817020 has 96 divisors (see below), whose sum is σ = 2721600. Its totient is φ = 202752.

The previous prime is 817013. The next prime is 817027. The reversal of 817020 is 20718.

817020 is nontrivially palindromic in base 16.

It is an interprime number because it is at equal distance from previous prime (817013) and next prime (817027).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 816984 and 817002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (817027) by changing a digit.

817020 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9136 + ... + 9224.

It is an arithmetic number, because the mean of its divisors is an integer number (28350).

2⁸¹⁷⁰²⁰ 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 817020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360800).

817020 is an abundant number, since it is smaller than the sum of its proper divisors (1904580).

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

817020 is a wasteful number, since it uses less digits than its factorization.

817020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 817020 is about 903.8915864195. The cubic root of 817020 is about 93.4854944277.

Adding to 817020 its reverse (20718), we get a palindrome (837738).

The spelling of 817020 in words is "eight hundred seventeen thousand, twenty".