828264 has 16 divisors (see below), whose sum is σ = 2070720. Its totient is φ = 276080.

The previous prime is 828239. The next prime is 828277. The reversal of 828264 is 462828.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17232 + ... + 17279.

It is an arithmetic number, because the mean of its divisors is an integer number (129420).

2⁸²⁸²⁶⁴ is an apocalyptic number.

It is an amenable number.

828264 is an abundant number, since it is smaller than the sum of its proper divisors (1242456).

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

828264 is a wasteful number, since it uses less digits than its factorization.

828264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34520 (or 34516 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 828264 is about 910.0901054291. The cubic root of 828264 is about 93.9123976368.

The spelling of 828264 in words is "eight hundred twenty-eight thousand, two hundred sixty-four".