875568 has 80 divisors (see below), whose sum is σ = 2544480. Its totient is φ = 258048.

The previous prime is 875543. The next prime is 875579. The reversal of 875568 is 865578.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23646 + ... + 23682.

It is an arithmetic number, because the mean of its divisors is an integer number (31806).

2⁸⁷⁵⁵⁶⁸ 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 875568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272240).

875568 is an abundant number, since it is smaller than the sum of its proper divisors (1668912).

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

875568 is a wasteful number, since it uses less digits than its factorization.

875568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 88 counting only the distinct ones).

The product of its digits is 67200, while the sum is 39.

The square root of 875568 is about 935.7179062089. The cubic root of 875568 is about 95.6672507556.

It can be divided in two parts, 87 and 5568, that multiplied together give a square (484416 = 696²).

The spelling of 875568 in words is "eight hundred seventy-five thousand, five hundred sixty-eight".