88768 has 28 divisors (see below), whose sum is σ = 187960. Its totient is φ = 41472.

The previous prime is 88747. The next prime is 88771. The reversal of 88768 is 86788.

88768 is an esthetic number in base 12, because in such base its adjacent digits differ by 1.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1180 + ... + 1252.

2⁸⁸⁷⁶⁸ 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 88768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93980).

88768 is an abundant number, since it is smaller than the sum of its proper divisors (99192).

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

88768 is a wasteful number, since it uses less digits than its factorization.

88768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 94 counting only the distinct ones).

The product of its digits is 21504, while the sum is 37.

The square root of 88768 is about 297.9395911926. The cubic root of 88768 is about 44.6086224088.

The spelling of 88768 in words is "eighty-eight thousand, seven hundred sixty-eight".