828036 has 96 divisors (see below), whose sum is σ = 2540160. Its totient is φ = 230400.

The previous prime is 828029. The next prime is 828043. The reversal of 828036 is 630828.

It is an interprime number because it is at equal distance from previous prime (828029) and next prime (828043).

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 828036.

It is an unprimeable number.

828036 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 31 ways as a sum of consecutive naturals, for example, 20176 + ... + 20216.

It is an arithmetic number, because the mean of its divisors is an integer number (26460).

2⁸²⁸⁰³⁶ 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 828036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270080).

828036 is an abundant number, since it is smaller than the sum of its proper divisors (1712124).

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

828036 is a wasteful number, since it uses less digits than its factorization.

828036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 828036 is about 909.9648344854. The cubic root of 828036 is about 93.9037796149.

It can be divided in two parts, 82 and 8036, that added together give a palindrome (8118).

The spelling of 828036 in words is "eight hundred twenty-eight thousand, thirty-six".