827648 has 36 divisors (see below), whose sum is σ = 1710828. Its totient is φ = 399360.

The previous prime is 827639. The next prime is 827677. The reversal of 827648 is 846728.

It can be written as a sum of positive squares in 2 ways, for example, as 262144 + 565504 = 512^2 + 752^2 .

It is a plaindrome in base 14.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 827648.

It is an unprimeable number.

827648 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13538 + ... + 13598.

It is an arithmetic number, because the mean of its divisors is an integer number (47523).

2⁸²⁷⁶⁴⁸ 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 827648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855414).

827648 is an abundant number, since it is smaller than the sum of its proper divisors (883180).

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

827648 is an equidigital number, since it uses as much as digits as its factorization.

827648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 116 counting only the distinct ones).

The product of its digits is 21504, while the sum is 35.

The square root of 827648 is about 909.7516144531. The cubic root of 827648 is about 93.8891102210.

The spelling of 827648 in words is "eight hundred twenty-seven thousand, six hundred forty-eight".