820016 has 20 divisors (see below), whose sum is σ = 1620432. Its totient is φ = 401856.

The previous prime is 819991. The next prime is 820037. The reversal of 820016 is 610028.

It is a plaindrome in base 12.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 819976 and 820003.

It is an unprimeable number.

820016 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, 365 + ... + 1331.

2⁸²⁰⁰¹⁶ is an apocalyptic number.

It is an amenable number.

820016 is a deficient number, since it is larger than the sum of its proper divisors (800416).

820016 is a wasteful number, since it uses less digits than its factorization.

820016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 820016 is about 905.5473482927. The cubic root of 820016 is about 93.5996250015.

The spelling of 820016 in words is "eight hundred twenty thousand, sixteen".