887568 has 60 divisors (see below), whose sum is σ = 2563824. Its totient is φ = 262400.

The previous prime is 887567. The next prime is 887569. The reversal of 887568 is 865788.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (887567) and next prime (887569).

It is not an unprimeable number, because it can be changed into a prime (887567) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21628 + ... + 21668.

2⁸⁸⁷⁵⁶⁸ is an apocalyptic number.

887568 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 887568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281912).

887568 is an abundant number, since it is smaller than the sum of its proper divisors (1676256).

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

887568 is a wasteful number, since it uses less digits than its factorization.

887568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 57 counting only the distinct ones).

The product of its digits is 107520, while the sum is 42.

The square root of 887568 is about 942.1082740322. The cubic root of 887568 is about 96.1023214576.

The spelling of 887568 in words is "eight hundred eighty-seven thousand, five hundred sixty-eight".