820616 has 16 divisors (see below), whose sum is σ = 1562640. Its totient is φ = 403920.

The previous prime is 820609. The next prime is 820619. The reversal of 820616 is 616028.

It is a junction number, because it is equal to n+sod(n) for n = 820591 and 820600.

It is not an unprimeable number, because it can be changed into a prime (820619) by changing a digit.

820616 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 3 ways as a sum of consecutive naturals, for example, 230 + ... + 1301.

It is an arithmetic number, because the mean of its divisors is an integer number (97665).

2⁸²⁰⁶¹⁶ is an apocalyptic number.

It is an amenable number.

820616 is a deficient number, since it is larger than the sum of its proper divisors (742024).

820616 is a wasteful number, since it uses less digits than its factorization.

820616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 820616 is about 905.8785790601. The cubic root of 820616 is about 93.6224481673.

The spelling of 820616 in words is "eight hundred twenty thousand, six hundred sixteen".