4116864 has 64 divisors (see below), whose sum is σ = 11162880. Its totient is φ = 1344000.

The previous prime is 4116857. The next prime is 4116887. The reversal of 4116864 is 4686114.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is a congruent 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, 27189 + ... + 27339.

It is an arithmetic number, because the mean of its divisors is an integer number (174420).

Almost surely, 2^4116864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4116864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5581440).

4116864 is an abundant number, since it is smaller than the sum of its proper divisors (7046016).

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

4116864 is a wasteful number, since it uses less digits than its factorization.

4116864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 227 counting only the distinct ones).

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

The square root of 4116864 is about 2029.0056678087. The cubic root of 4116864 is about 160.2712067002.

The spelling of 4116864 in words is "four million, one hundred sixteen thousand, eight hundred sixty-four".