824020 has 12 divisors (see below), whose sum is σ = 1730484. Its totient is φ = 329600.

The previous prime is 824017. The next prime is 824029. The reversal of 824020 is 20428.

824020 = T₂₇₇ + T₂₇₈ + ... + T₂₉₆.

It can be written as a sum of positive squares in 2 ways, for example, as 512656 + 311364 = 716^2 + 558^2 .

It is a junction number, because it is equal to n+sod(n) for n = 823985 and 824003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (824029) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20581 + ... + 20620.

It is an arithmetic number, because the mean of its divisors is an integer number (144207).

2⁸²⁴⁰²⁰ is an apocalyptic number.

It is an amenable number.

824020 is an abundant number, since it is smaller than the sum of its proper divisors (906464).

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

824020 is a wasteful number, since it uses less digits than its factorization.

824020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41210 (or 41208 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 824020 is about 907.7554736822. The cubic root of 824020 is about 93.7517214499.

Adding to 824020 its reverse (20428), we get a palindrome (844448).

The spelling of 824020 in words is "eight hundred twenty-four thousand, twenty".