820548 has 36 divisors (see below), whose sum is σ = 2166528. Its totient is φ = 261360.

The previous prime is 820541. The next prime is 820559. The reversal of 820548 is 845028.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 820548.

It is not an unprimeable number, because it can be changed into a prime (820541) by changing a digit.

820548 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 (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 333 + ... + 1323.

2⁸²⁰⁵⁴⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083264).

820548 is an abundant number, since it is smaller than the sum of its proper divisors (1345980).

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

820548 is a wasteful number, since it uses less digits than its factorization.

820548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 820548 is about 905.8410456587. The cubic root of 820548 is about 93.6198621009.

The spelling of 820548 in words is "eight hundred twenty thousand, five hundred forty-eight".