4066080 has 96 divisors (see below), whose sum is σ = 13172544. Its totient is φ = 1053696.

The previous prime is 4066067. The next prime is 4066121. The reversal of 4066080 is 806604.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 4066080.

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, 20542 + ... + 20738.

It is an arithmetic number, because the mean of its divisors is an integer number (137214).

Almost surely, 2^4066080 is an apocalyptic number.

4066080 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 4066080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6586272).

4066080 is an abundant number, since it is smaller than the sum of its proper divisors (9106464).

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

4066080 is a wasteful number, since it uses less digits than its factorization.

4066080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 4066080 is about 2016.4523302077. The cubic root of 4066080 is about 159.6094642034.

The spelling of 4066080 in words is "four million, sixty-six thousand, eighty".