4116684 has 48 divisors (see below), whose sum is σ = 11289600. Its totient is φ = 1151040.

The previous prime is 4116667. The next prime is 4116727. The reversal of 4116684 is 4866114.

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, 517 + ... + 2915.

It is an arithmetic number, because the mean of its divisors is an integer number (235200).

Almost surely, 2^4116684 is an apocalyptic number.

4116684 is a gapful number since it is divisible by the number (44) 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 4116684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5644800).

4116684 is an abundant number, since it is smaller than the sum of its proper divisors (7172916).

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

4116684 is a wasteful number, since it uses less digits than its factorization.

4116684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2430 (or 2428 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 4116684 is about 2028.9613106218. The cubic root of 4116684 is about 160.2688708415.

The spelling of 4116684 in words is "four million, one hundred sixteen thousand, six hundred eighty-four".