87568 has 20 divisors (see below), whose sum is σ = 183148. Its totient is φ = 40320.

The previous prime is 87559. The next prime is 87583. The reversal of 87568 is 86578.

It can be written as a sum of positive squares in 2 ways, for example, as 4624 + 82944 = 68^2 + 288^2 .

It is a congruent number.

It is an unprimeable number.

87568 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3 + ... + 418.

2⁸⁷⁵⁶⁸ 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 87568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91574).

87568 is an abundant number, since it is smaller than the sum of its proper divisors (95580).

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

87568 is a wasteful number, since it uses less digits than its factorization.

87568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 436 counting only the distinct ones).

The product of its digits is 13440, while the sum is 34.

The square root of 87568 is about 295.9189078109. The cubic root of 87568 is about 44.4066975801.

Subtracting from 87568 its reverse (86578), we obtain a triangular number (990 = T₄₄).

The spelling of 87568 in words is "eighty-seven thousand, five hundred sixty-eight".