88256 has 28 divisors (see below), whose sum is σ = 201168. Its totient is φ = 37632.

The previous prime is 88241. The next prime is 88259. The reversal of 88256 is 65288.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88259) by changing a digit.

88256 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, 350 + ... + 546.

2⁸⁸²⁵⁶ 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 88256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100584).

88256 is an abundant number, since it is smaller than the sum of its proper divisors (112912).

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

88256 is a wasteful number, since it uses less digits than its factorization.

88256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 206 counting only the distinct ones).

The product of its digits is 3840, while the sum is 29.

The square root of 88256 is about 297.0791140420. The cubic root of 88256 is about 44.5226917892.

The spelling of 88256 in words is "eighty-eight thousand, two hundred fifty-six".