4109680 has 40 divisors (see below), whose sum is σ = 9767232. Its totient is φ = 1607424.

The previous prime is 4109671. The next prime is 4109683. The reversal of 4109680 is 869014.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4109683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3214 + ... + 4306.

Almost surely, 2^4109680 is an apocalyptic number.

4109680 is a gapful number since it is divisible by the number (40) 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 4109680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4883616).

4109680 is an abundant number, since it is smaller than the sum of its proper divisors (5657552).

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

4109680 is a wasteful number, since it uses less digits than its factorization.

4109680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 4109680 is about 2027.2345695553. The cubic root of 4109680 is about 160.1779270639.

The spelling of 4109680 in words is "four million, one hundred nine thousand, six hundred eighty".