523820 has 24 divisors (see below), whose sum is σ = 1200528. Its totient is φ = 190400.

The previous prime is 523801. The next prime is 523829. The reversal of 523820 is 28325.

523820 = T₁₀₁ + T₁₀₂ + ... + T₁₆₀.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 523792 and 523801.

It is not an unprimeable number, because it can be changed into a prime (523829) by changing a digit.

523820 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 7 ways as a sum of consecutive naturals, for example, 971 + ... + 1410.

It is an arithmetic number, because the mean of its divisors is an integer number (50022).

2⁵²³⁸²⁰ is an apocalyptic number.

It is an amenable number.

523820 is an abundant number, since it is smaller than the sum of its proper divisors (676708).

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

523820 is a wasteful number, since it uses less digits than its factorization.

523820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2401 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 523820 is about 723.7541018882. The cubic root of 523820 is about 80.6109474136.

The spelling of 523820 in words is "five hundred twenty-three thousand, eight hundred twenty".