820628 has 6 divisors (see below), whose sum is σ = 1436106. Its totient is φ = 410312.

The previous prime is 820627. The next prime is 820637. The reversal of 820628 is 826028.

It can be written as a sum of positive squares in only one way, i.e., 795664 + 24964 = 892^2 + 158^2 .

It is a junction number, because it is equal to n+sod(n) for n = 820597 and 820606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820627) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102575 + ... + 102582.

It is an arithmetic number, because the mean of its divisors is an integer number (239351).

2⁸²⁰⁶²⁸ is an apocalyptic number.

It is an amenable number.

820628 is a deficient number, since it is larger than the sum of its proper divisors (615478).

820628 is a wasteful number, since it uses less digits than its factorization.

820628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205161 (or 205159 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 820628 is about 905.8852024401. The cubic root of 820628 is about 93.6229045171.

The spelling of 820628 in words is "eight hundred twenty thousand, six hundred twenty-eight".