108960 has 48 divisors (see below), whose sum is σ = 344736. Its totient is φ = 28928.

The previous prime is 108959. The next prime is 108961. The reversal of 108960 is 69801.

108960 = 106² + 107² + ... + 114².

It is an interprime number because it is at equal distance from previous prime (108959) and next prime (108961).

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a self number, because there is not a number n which added to its sum of digits gives 108960.

It is not an unprimeable number, because it can be changed into a prime (108961) 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, 367 + ... + 593.

It is an arithmetic number, because the mean of its divisors is an integer number (7182).

2¹⁰⁸⁹⁶⁰ is an apocalyptic number.

108960 is a gapful number since it is divisible by the number (10) 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 108960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172368).

108960 is an abundant number, since it is smaller than the sum of its proper divisors (235776).

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

108960 is a wasteful number, since it uses less digits than its factorization.

108960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 108960 is about 330.0908965724. The cubic root of 108960 is about 47.7627178463.

The spelling of 108960 in words is "one hundred eight thousand, nine hundred sixty".