81576 has 48 divisors (see below), whose sum is σ = 243360. Its totient is φ = 24480.

The previous prime is 81569. The next prime is 81611. The reversal of 81576 is 67518.

It is an unprimeable number.

81576 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, 741 + ... + 843.

It is an arithmetic number, because the mean of its divisors is an integer number (5070).

2⁸¹⁵⁷⁶ 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 81576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121680).

81576 is an abundant number, since it is smaller than the sum of its proper divisors (161784).

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

81576 is a wasteful number, since it uses less digits than its factorization.

81576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 119 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 81576 is about 285.6151256499. The cubic root of 81576 is about 43.3698049294.

It can be divided in two parts, 81 and 576, that multiplied together give a 6-th power (46656 = 6⁶).

The spelling of 81576 in words is "eighty-one thousand, five hundred seventy-six".