820410 has 64 divisors (see below), whose sum is σ = 2177280. Its totient is φ = 197120.

The previous prime is 820409. The next prime is 820411. The reversal of 820410 is 14028.

It is an interprime number because it is at equal distance from previous prime (820409) and next prime (820411).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 820410.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19990 + ... + 20030.

It is an arithmetic number, because the mean of its divisors is an integer number (34020).

2⁸²⁰⁴¹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088640).

820410 is an abundant number, since it is smaller than the sum of its proper divisors (1356870).

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

820410 is a wasteful number, since it uses less digits than its factorization.

820410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103.

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 820410 is about 905.7648701512. The cubic root of 820410 is about 93.6146134682.

Adding to 820410 its reverse (14028), we get a palindrome (834438).

The spelling of 820410 in words is "eight hundred twenty thousand, four hundred ten".