4187680 has 48 divisors (see below), whose sum is σ = 11309760. Its totient is φ = 1435392.

The previous prime is 4187669. The next prime is 4187707. The reversal of 4187680 is 867814.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 750 + ... + 2989.

It is an arithmetic number, because the mean of its divisors is an integer number (235620).

Almost surely, 2^4187680 is an apocalyptic number.

4187680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4187680 is an abundant number, since it is smaller than the sum of its proper divisors (7122080).

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

4187680 is a wasteful number, since it uses less digits than its factorization.

4187680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3761 (or 3753 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 4187680 is about 2046.3821734955. The cubic root of 4187680 is about 161.1849526312.

The spelling of 4187680 in words is "four million, one hundred eighty-seven thousand, six hundred eighty".