820068 has 24 divisors (see below), whose sum is σ = 1966272. Its totient is φ = 265824.

The previous prime is 820067. The next prime is 820073. The reversal of 820068 is 860028.

It is not an unprimeable number, because it can be changed into a prime (820067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 480 + ... + 1367.

It is an arithmetic number, because the mean of its divisors is an integer number (81928).

2⁸²⁰⁰⁶⁸ is an apocalyptic number.

It is an amenable number.

820068 is an abundant number, since it is smaller than the sum of its proper divisors (1146204).

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

820068 is a wasteful number, since it uses less digits than its factorization.

820068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1891 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 820068 is about 905.5760597542. The cubic root of 820068 is about 93.6016034498.

Adding to 820068 its product of nonzero digits (768), we get a square (820836 = 906²).

The spelling of 820068 in words is "eight hundred twenty thousand, sixty-eight".