88816 has 40 divisors (see below), whose sum is σ = 215264. Its totient is φ = 34560.

The previous prime is 88813. The next prime is 88817. The reversal of 88816 is 61888.

88816 is nontrivially palindromic in base 3 and base 15.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1426 + ... + 1486.

2⁸⁸⁸¹⁶ 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 88816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107632).

88816 is an abundant number, since it is smaller than the sum of its proper divisors (126448).

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

88816 is a wasteful number, since it uses less digits than its factorization.

88816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 83 counting only the distinct ones).

The product of its digits is 3072, while the sum is 31.

The square root of 88816 is about 298.0201335481. The cubic root of 88816 is about 44.6166614470.

The spelling of 88816 in words is "eighty-eight thousand, eight hundred sixteen".