108480 has 56 divisors (see below), whose sum is σ = 347472. Its totient is φ = 28672.

The previous prime is 108463. The next prime is 108497. The reversal of 108480 is 84801.

It is an interprime number because it is at equal distance from previous prime (108463) and next prime (108497).

It is an Ulam number.

It is a nialpdrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 108480.

It is an unprimeable number.

108480 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 7 ways as a sum of consecutive naturals, for example, 904 + ... + 1016.

2¹⁰⁸⁴⁸⁰ is an apocalyptic number.

108480 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 108480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173736).

108480 is an abundant number, since it is smaller than the sum of its proper divisors (238992).

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

108480 is a wasteful number, since it uses less digits than its factorization.

108480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 108480 is about 329.3630216038. The cubic root of 108480 is about 47.6924784540.

The spelling of 108480 in words is "one hundred eight thousand, four hundred eighty".