108728640 has 168 divisors, whose sum is σ = 393862560. Its totient is φ = 27454464.

The previous prime is 108728629. The next prime is 108728663. The reversal of 108728640 is 46827801.

108728640 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 2 + 8 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 108728595 and 108728604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53727 + ... + 55713.

It is an arithmetic number, because the mean of its divisors is an integer number (2344420).

Almost surely, 2^108728640 is an apocalyptic number.

108728640 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 108728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196931280).

108728640 is an abundant number, since it is smaller than the sum of its proper divisors (285133920).

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

108728640 is a wasteful number, since it uses less digits than its factorization.

108728640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2029 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 108728640 is about 10427.3026234017. The cubic root of 108728640 is about 477.2888826690.

The spelling of 108728640 in words is "one hundred eight million, seven hundred twenty-eight thousand, six hundred forty".