108688608 has 96 divisors (see below), whose sum is σ = 362315520. Its totient is φ = 31052160.

The previous prime is 108688603. The next prime is 108688609. The reversal of 108688608 is 806886801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108688603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2938 + ... + 15033.

It is an arithmetic number, because the mean of its divisors is an integer number (3774120).

Almost surely, 2^108688608 is an apocalyptic number.

108688608 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 108688608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181157760).

108688608 is an abundant number, since it is smaller than the sum of its proper divisors (253626912).

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

108688608 is a wasteful number, since it uses less digits than its factorization.

108688608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17997 (or 17983 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 108688608 is about 10425.3828706671. The cubic root of 108688608 is about 477.2302989816.

The spelling of 108688608 in words is "one hundred eight million, six hundred eighty-eight thousand, six hundred eight".