4085680 has 20 divisors (see below), whose sum is σ = 9499392. Its totient is φ = 1634240.

The previous prime is 4085677. The next prime is 4085687. The reversal of 4085680 is 865804.

It is a tau number, because it is divible by the number of its divisors (20).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4085687) 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 3 ways as a sum of consecutive naturals, for example, 25456 + ... + 25615.

Almost surely, 2^4085680 is an apocalyptic number.

4085680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4085680 is an abundant number, since it is smaller than the sum of its proper divisors (5413712).

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

4085680 is a wasteful number, since it uses less digits than its factorization.

4085680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51084 (or 51078 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 4085680 is about 2021.3065081773. The cubic root of 4085680 is about 159.8655119878.

The spelling of 4085680 in words is "four million, eighty-five thousand, six hundred eighty".