109728640 has 96 divisors (see below), whose sum is σ = 305235000. Its totient is φ = 37610496.

The previous prime is 109728617. The next prime is 109728649. The reversal of 109728640 is 46827901.

It is a self number, because there is not a number n which added to its sum of digits gives 109728640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109728649) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29611 + ... + 33109.

Almost surely, 2^109728640 is an apocalyptic number.

109728640 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 109728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152617500).

109728640 is an abundant number, since it is smaller than the sum of its proper divisors (195506360).

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

109728640 is an equidigital number, since it uses as much as digits as its factorization.

109728640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3532 (or 3513 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 109728640 is about 10475.1439130926. The cubic root of 109728640 is about 478.7476613674.

The spelling of 109728640 in words is "one hundred nine million, seven hundred twenty-eight thousand, six hundred forty".