88600 has 24 divisors (see below), whose sum is σ = 206460. Its totient is φ = 35360.

The previous prime is 88591. The next prime is 88607. The reversal of 88600 is 688.

88600 is nontrivially palindromic in base 12.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88607) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 22 + ... + 421.

2⁸⁸⁶⁰⁰ 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 88600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103230).

88600 is an abundant number, since it is smaller than the sum of its proper divisors (117860).

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

88600 is a wasteful number, since it uses less digits than its factorization.

88600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 88600 is about 297.6575213227. The cubic root of 88600 is about 44.5804629318.

The spelling of 88600 in words is "eighty-eight thousand, six hundred".