820098 has 16 divisors (see below), whose sum is σ = 1822560. Its totient is φ = 273348.

The previous prime is 820093. The next prime is 820109. The reversal of 820098 is 890028.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (820093) by changing a digit.

820098 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, 7540 + ... + 7647.

It is an arithmetic number, because the mean of its divisors is an integer number (113910).

2⁸²⁰⁰⁹⁸ is an apocalyptic number.

820098 is an abundant number, since it is smaller than the sum of its proper divisors (1002462).

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

820098 is a wasteful number, since it uses less digits than its factorization.

820098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15198 (or 15192 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 820098 is about 905.5926236449. The cubic root of 820098 is about 93.6027448242.

The spelling of 820098 in words is "eight hundred twenty thousand, ninety-eight".