88688 has 20 divisors (see below), whose sum is σ = 180048. Its totient is φ = 42240.

The previous prime is 88681. The next prime is 88721.

88688 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×88688² = 15731122688, which contains 22 as substring.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88681) by changing a digit.

88688 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, 248 + ... + 488.

2⁸⁸⁶⁸⁸ 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 88688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90024).

88688 is an abundant number, since it is smaller than the sum of its proper divisors (91360).

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

88688 is a wasteful number, since it uses less digits than its factorization.

88688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 266 counting only the distinct ones).

The product of its digits is 24576, while the sum is 38.

The square root of 88688 is about 297.8053055269. The cubic root of 88688 is about 44.5952175692.

The spelling of 88688 in words is "eighty-eight thousand, six hundred eighty-eight".