827568 has 60 divisors (see below), whose sum is σ = 2650128. Its totient is φ = 236160.

The previous prime is 827549. The next prime is 827581. The reversal of 827568 is 865728.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 598 + ... + 1418.

2⁸²⁷⁵⁶⁸ 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 827568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325064).

827568 is an abundant number, since it is smaller than the sum of its proper divisors (1822560).

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

827568 is a wasteful number, since it uses less digits than its factorization.

827568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 833 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 827568 is about 909.7076453455. The cubic root of 827568 is about 93.8860850336.

The spelling of 827568 in words is "eight hundred twenty-seven thousand, five hundred sixty-eight".