820308 has 24 divisors (see below), whose sum is σ = 1929312. Its totient is φ = 271264.

The previous prime is 820279. The next prime is 820319. The reversal of 820308 is 803028.

It is a congruent number.

It is an unprimeable number.

820308 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 7 ways as a sum of consecutive naturals, for example, 2191 + ... + 2537.

It is an arithmetic number, because the mean of its divisors is an integer number (80388).

2⁸²⁰³⁰⁸ is an apocalyptic number.

It is an amenable number.

820308 is an abundant number, since it is smaller than the sum of its proper divisors (1109004).

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

820308 is a wasteful number, since it uses less digits than its factorization.

820308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 820308 is about 905.7085623974. The cubic root of 820308 is about 93.6107336657.

It can be divided in two parts, 820 and 308, that added together give a triangular number (1128 = T₄₇).

The spelling of 820308 in words is "eight hundred twenty thousand, three hundred eight".