4086080 has 42 divisors (see below), whose sum is σ = 9816846. Its totient is φ = 1619968.

The previous prime is 4086073. The next prime is 4086091. The reversal of 4086080 is 806804.

4086080 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 3 ways, for example, as 430336 + 3655744 = 656^2 + 1912^2 .

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36104 + ... + 36216.

Almost surely, 2^4086080 is an apocalyptic number.

4086080 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 4086080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4908423).

4086080 is an abundant number, since it is smaller than the sum of its proper divisors (5730766).

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

4086080 is an equidigital number, since it uses as much as digits as its factorization.

4086080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 4086080 is about 2021.4054516598. The cubic root of 4086080 is about 159.8707289176.

The spelling of 4086080 in words is "four million, eighty-six thousand, eighty".