108640 has 48 divisors (see below), whose sum is σ = 296352. Its totient is φ = 36864.

The previous prime is 108637. The next prime is 108643. The reversal of 108640 is 46801.

It is an interprime number because it is at equal distance from previous prime (108637) and next prime (108643).

It is a congruent number.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1072 + ... + 1168.

It is an arithmetic number, because the mean of its divisors is an integer number (6174).

2¹⁰⁸⁶⁴⁰ is an apocalyptic number.

108640 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 108640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148176).

108640 is an abundant number, since it is smaller than the sum of its proper divisors (187712).

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

108640 is an equidigital number, since it uses as much as digits as its factorization.

108640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 108640 is about 329.6058251912. The cubic root of 108640 is about 47.7159145651.

The spelling of 108640 in words is "one hundred eight thousand, six hundred forty".