108688320 has 168 divisors, whose sum is σ = 402738336. Its totient is φ = 26744832.

The previous prime is 108688309. The next prime is 108688339. The reversal of 108688320 is 23886801.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35989 + ... + 38891.

It is an arithmetic number, because the mean of its divisors is an integer number (2397252).

Almost surely, 2^108688320 is an apocalyptic number.

108688320 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 108688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201369168).

108688320 is an abundant number, since it is smaller than the sum of its proper divisors (294050016).

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

108688320 is a wasteful number, since it uses less digits than its factorization.

108688320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2939 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 108688320 is about 10425.3690582156. The cubic root of 108688320 is about 477.2298774641.

The spelling of 108688320 in words is "one hundred eight million, six hundred eighty-eight thousand, three hundred twenty".