4185680 has 20 divisors (see below), whose sum is σ = 9731892. Its totient is φ = 1674240.

The previous prime is 4185673. The next prime is 4185683. The reversal of 4185680 is 865814.

It can be written as a sum of positive squares in 2 ways, for example, as 1336336 + 2849344 = 1156^2 + 1688^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4185683) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26081 + ... + 26240.

Almost surely, 2^4185680 is an apocalyptic number.

4185680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4185680 is an abundant number, since it is smaller than the sum of its proper divisors (5546212).

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

4185680 is a wasteful number, since it uses less digits than its factorization.

4185680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52334 (or 52328 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 4185680 is about 2045.8934478609. The cubic root of 4185680 is about 161.1592883621.

The spelling of 4185680 in words is "four million, one hundred eighty-five thousand, six hundred eighty".