4205680 has 20 divisors (see below), whose sum is σ = 9778392. Its totient is φ = 1682240.

The previous prime is 4205671. The next prime is 4205687. The reversal of 4205680 is 865024.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4205687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26206 + ... + 26365.

Almost surely, 2^4205680 is an apocalyptic number.

4205680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4205680 is an abundant number, since it is smaller than the sum of its proper divisors (5572712).

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

4205680 is a wasteful number, since it uses less digits than its factorization.

4205680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52584 (or 52578 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 4205680 is about 2050.7754630871. The cubic root of 4205680 is about 161.4155641788.

The spelling of 4205680 in words is "four million, two hundred five thousand, six hundred eighty".