820356 has 24 divisors (see below), whose sum is σ = 1932000. Its totient is φ = 270912.

The previous prime is 820349. The next prime is 820361. The reversal of 820356 is 653028.

It is an unprimeable number.

820356 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1395 + ... + 1893.

It is an arithmetic number, because the mean of its divisors is an integer number (80500).

2⁸²⁰³⁵⁶ is an apocalyptic number.

It is an amenable number.

820356 is an abundant number, since it is smaller than the sum of its proper divisors (1111644).

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

820356 is a wasteful number, since it uses less digits than its factorization.

820356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 820356 is about 905.7350606000. The cubic root of 820356 is about 93.6125594952.

It can be divided in two parts, 820 and 356, that added together give a triangular number (1176 = T₄₈).

The spelling of 820356 in words is "eight hundred twenty thousand, three hundred fifty-six".