81168 has 40 divisors (see below), whose sum is σ = 223200. Its totient is φ = 25344.

The previous prime is 81163. The next prime is 81173. The reversal of 81168 is 86118.

It is an interprime number because it is at equal distance from previous prime (81163) and next prime (81173).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81163) 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 7 ways as a sum of consecutive naturals, for example, 868 + ... + 956.

It is an arithmetic number, because the mean of its divisors is an integer number (5580).

2⁸¹¹⁶⁸ 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 81168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111600).

81168 is an abundant number, since it is smaller than the sum of its proper divisors (142032).

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

81168 is a wasteful number, since it uses less digits than its factorization.

81168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 113 counting only the distinct ones).

The product of its digits is 384, while the sum is 24.

The square root of 81168 is about 284.8999824500. The cubic root of 81168 is about 43.2973797766.

Subtracting 81168 from its reverse (86118), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 8 and 1168, that added together give a triangular number (1176 = T₄₈).

The spelling of 81168 in words is "eighty-one thousand, one hundred sixty-eight".