86768 has 40 divisors (see below), whose sum is σ = 200880. Its totient is φ = 35840.

The previous prime is 86767. The next prime is 86771.

86768 is nontrivially palindromic in base 10.

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 (86767) 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, 2978 + ... + 3006.

It is an arithmetic number, because the mean of its divisors is an integer number (5022).

2⁸⁶⁷⁶⁸ is an apocalyptic number.

86768 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100440).

86768 is an abundant number, since it is smaller than the sum of its proper divisors (114112).

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

86768 is a wasteful number, since it uses less digits than its factorization.

86768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 59 counting only the distinct ones).

The product of its digits is 16128, while the sum is 35.

The square root of 86768 is about 294.5640847082. The cubic root of 86768 is about 44.2710540643.

Multiplying 86768 by its sum of digits (35), we get a triangular number (3036880 = T₂₄₆₄).

It can be divided in two parts, 8 and 6768, that added together give a palindrome (6776).

The spelling of 86768 in words is "eighty-six thousand, seven hundred sixty-eight".