4089680 has 80 divisors (see below), whose sum is σ = 11130240. Its totient is φ = 1368576.

The previous prime is 4089677. The next prime is 4089697. The reversal of 4089680 is 869804.

4089680 is nontrivially palindromic in base 15.

4089680 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an Ulam number.

4089680 is strictly pandigital in base 8.

It is a zygodrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 4089680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37466 + ... + 37574.

It is an arithmetic number, because the mean of its divisors is an integer number (139128).

Almost surely, 2^4089680 is an apocalyptic number.

4089680 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 4089680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5565120).

4089680 is an abundant number, since it is smaller than the sum of its proper divisors (7040560).

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

4089680 is a wasteful number, since it uses less digits than its factorization.

4089680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 4089680 is about 2022.2957251599. The cubic root of 4089680 is about 159.9176659725.

The spelling of 4089680 in words is "four million, eighty-nine thousand, six hundred eighty".