828600 has 48 divisors (see below), whose sum is σ = 2570520. Its totient is φ = 220800.

The previous prime is 828587. The next prime is 828601. The reversal of 828600 is 6828.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828601) by changing a digit.

828600 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 11 ways as a sum of consecutive naturals, for example, 91 + ... + 1290.

2⁸²⁸⁶⁰⁰ 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 828600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285260).

828600 is an abundant number, since it is smaller than the sum of its proper divisors (1741920).

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

828600 is a wasteful number, since it uses less digits than its factorization.

828600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 828600 is about 910.2746838180. The cubic root of 828600 is about 93.9250949972.

The spelling of 828600 in words is "eight hundred twenty-eight thousand, six hundred".