828864 has 42 divisors (see below), whose sum is σ = 2377440. Its totient is φ = 276096.

The previous prime is 828859. The next prime is 828871. The reversal of 828864 is 468828.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 8² + 2¹⁹ + 8⁴ + 8⁴ + 6⁷ + 4⁷ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 144 + ... + 1295.

2⁸²⁸⁸⁶⁴ 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 828864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188720).

828864 is an abundant number, since it is smaller than the sum of its proper divisors (1548576).

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

828864 is a wasteful number, since it uses less digits than its factorization.

828864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457 (or 1444 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 828864 is about 910.4196834428. The cubic root of 828864 is about 93.9350690869.

Subtracting from 828864 its sum of digits (36), we obtain a palindrome (828828).

The spelling of 828864 in words is "eight hundred twenty-eight thousand, eight hundred sixty-four".