820860 has 24 divisors (see below), whose sum is σ = 2298576. Its totient is φ = 218880.

The previous prime is 820837. The next prime is 820873. The reversal of 820860 is 68028.

820860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×820860² = 1347622279200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 820860.

It is a congruent number.

It is an unprimeable number.

820860 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 7 ways as a sum of consecutive naturals, for example, 6781 + ... + 6900.

It is an arithmetic number, because the mean of its divisors is an integer number (95774).

2⁸²⁰⁸⁶⁰ is an apocalyptic number.

It is an amenable number.

820860 is an abundant number, since it is smaller than the sum of its proper divisors (1477716).

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

820860 is a wasteful number, since it uses less digits than its factorization.

820860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13693 (or 13691 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 820860 is about 906.0132449363. The cubic root of 820860 is about 93.6317264061.

Subtracting from 820860 its sum of digits (24), we obtain a square (820836 = 906²).

Adding to 820860 its reverse (68028), we get a palindrome (888888).

The spelling of 820860 in words is "eight hundred twenty thousand, eight hundred sixty".