4086880 has 96 divisors (see below), whose sum is σ = 11430720. Its totient is φ = 1351680.

The previous prime is 4086877. The next prime is 4086889. The reversal of 4086880 is 886804.

4086880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4086889) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 45876 + ... + 45964.

It is an arithmetic number, because the mean of its divisors is an integer number (119070).

Almost surely, 2^4086880 is an apocalyptic number.

4086880 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 4086880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5715360).

4086880 is an abundant number, since it is smaller than the sum of its proper divisors (7343840).

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

4086880 is a wasteful number, since it uses less digits than its factorization.

4086880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 4086880 is about 2021.6033240970. The cubic root of 4086880 is about 159.8811617561.

The spelling of 4086880 in words is "four million, eighty-six thousand, eight hundred eighty".