820008 has 48 divisors (see below), whose sum is σ = 2539680. Its totient is φ = 234144.

The previous prime is 819991. The next prime is 820037. The reversal of 820008 is 800028.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 310 + ... + 1317.

It is an arithmetic number, because the mean of its divisors is an integer number (52910).

2⁸²⁰⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

820008 is an abundant number, since it is smaller than the sum of its proper divisors (1719672).

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

820008 is a wasteful number, since it uses less digits than its factorization.

820008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 820008 is about 905.5429310640. The cubic root of 820008 is about 93.5993206175.

The spelling of 820008 in words is "eight hundred twenty thousand, eight".