81468 has 36 divisors (see below), whose sum is σ = 215488. Its totient is φ = 25920.

The previous prime is 81463. The next prime is 81509. The reversal of 81468 is 86418.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81463) by changing a digit.

81468 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 11 ways as a sum of consecutive naturals, for example, 1080 + ... + 1152.

2⁸¹⁴⁶⁸ 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 81468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107744).

81468 is an abundant number, since it is smaller than the sum of its proper divisors (134020).

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

81468 is a wasteful number, since it uses less digits than its factorization.

81468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 109 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 81468 is about 285.4259974144. The cubic root of 81468 is about 43.3506571102.

Subtracting 81468 from its reverse (86418), we obtain a triangular number (4950 = T₉₉).

The spelling of 81468 in words is "eighty-one thousand, four hundred sixty-eight".