820232 has 32 divisors (see below), whose sum is σ = 1787520. Its totient is φ = 345600.

The previous prime is 820231. The next prime is 820241. The reversal of 820232 is 232028.

It is a self number, because there is not a number n which added to its sum of digits gives 820232.

It is not an unprimeable number, because it can be changed into a prime (820231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5357 + ... + 5507.

It is an arithmetic number, because the mean of its divisors is an integer number (55860).

2⁸²⁰²³² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893760).

820232 is an abundant number, since it is smaller than the sum of its proper divisors (967288).

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

820232 is a wasteful number, since it uses less digits than its factorization.

820232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 820232 is about 905.6666053245. Note that the first 4 decimals coincide. The cubic root of 820232 is about 93.6078426234.

The spelling of 820232 in words is "eight hundred twenty thousand, two hundred thirty-two".