108576 has 72 divisors (see below), whose sum is σ = 343980. Its totient is φ = 32256.

The previous prime is 108571. The next prime is 108587. The reversal of 108576 is 675801.

It can be written as a sum of positive squares in 2 ways, for example, as 104976 + 3600 = 324^2 + 60^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (108571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3730 + ... + 3758.

2¹⁰⁸⁵⁷⁶ is an apocalyptic number.

108576 is a gapful number since it is divisible by the number (16) 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 108576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171990).

108576 is an abundant number, since it is smaller than the sum of its proper divisors (235404).

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

108576 is a wasteful number, since it uses less digits than its factorization.

108576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 47 counting only the distinct ones).

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

The square root of 108576 is about 329.5087252259. The cubic root of 108576 is about 47.7065428837.

The spelling of 108576 in words is "one hundred eight thousand, five hundred seventy-six".