827968 has 28 divisors (see below), whose sum is σ = 1741932. Its totient is φ = 389120.

The previous prime is 827941. The next prime is 827969. The reversal of 827968 is 869728.

It can be written as a sum of positive squares in 2 ways, for example, as 238144 + 589824 = 488^2 + 768^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 827968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827969) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 708 + ... + 1468.

2⁸²⁷⁹⁶⁸ 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 827968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870966).

827968 is an abundant number, since it is smaller than the sum of its proper divisors (913964).

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

827968 is a wasteful number, since it uses less digits than its factorization.

827968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 780 counting only the distinct ones).

The product of its digits is 48384, while the sum is 40.

The square root of 827968 is about 909.9274696370. The cubic root of 827968 is about 93.9012090215.

The spelling of 827968 in words is "eight hundred twenty-seven thousand, nine hundred sixty-eight".