820648 has 16 divisors (see below), whose sum is σ = 1620000. Its totient is φ = 388656.

The previous prime is 820643. The next prime is 820649. The reversal of 820648 is 846028.

It is not an unprimeable number, because it can be changed into a prime (820643) by changing a digit.

820648 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 3 ways as a sum of consecutive naturals, for example, 2548 + ... + 2851.

It is an arithmetic number, because the mean of its divisors is an integer number (101250).

2⁸²⁰⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

820648 is a deficient number, since it is larger than the sum of its proper divisors (799352).

820648 is a wasteful number, since it uses less digits than its factorization.

820648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5424 (or 5420 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 820648 is about 905.8962412992. The cubic root of 820648 is about 93.6236650903.

The spelling of 820648 in words is "eight hundred twenty thousand, six hundred forty-eight".