823520 has 24 divisors (see below), whose sum is σ = 1945944. Its totient is φ = 329344.

The previous prime is 823519. The next prime is 823541. The reversal of 823520 is 25328.

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 = 823492 and 823501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2414 + ... + 2733.

It is an arithmetic number, because the mean of its divisors is an integer number (81081).

2⁸²³⁵²⁰ is an apocalyptic number.

823520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

823520 is an abundant number, since it is smaller than the sum of its proper divisors (1122424).

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

823520 is a wasteful number, since it uses less digits than its factorization.

823520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5162 (or 5154 counting only the distinct ones).

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

The square root of 823520 is about 907.4800273284. The cubic root of 823520 is about 93.7327553467.

Adding to 823520 its reverse (25328), we get a palindrome (848848).

The spelling of 823520 in words is "eight hundred twenty-three thousand, five hundred twenty".