108648 has 32 divisors (see below), whose sum is σ = 302400. Its totient is φ = 36144.

The previous prime is 108643. The next prime is 108649. The reversal of 108648 is 846801.

108648 is a `hidden beast` number, since 10 + 8 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 108648.

It is not an unprimeable number, because it can be changed into a prime (108643) by changing a digit.

108648 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 36 + ... + 467.

It is an arithmetic number, because the mean of its divisors is an integer number (9450).

2¹⁰⁸⁶⁴⁸ is an apocalyptic number.

108648 is a gapful number since it is divisible by the number (18) 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 108648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151200).

108648 is an abundant number, since it is smaller than the sum of its proper divisors (193752).

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

108648 is a wasteful number, since it uses less digits than its factorization.

108648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 508 counting only the distinct ones).

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

The square root of 108648 is about 329.6179606757. The cubic root of 108648 is about 47.7170857665.

The spelling of 108648 in words is "one hundred eight thousand, six hundred forty-eight".