4118688 has 120 divisors (see below), whose sum is σ = 13904352. Its totient is φ = 1171584.

The previous prime is 4118627. The next prime is 4118693. The reversal of 4118688 is 8868114.

4118688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

Its product of digits (12288) is a multiple of the sum of its prime factors (256).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18031 + ... + 18257.

Almost surely, 2^4118688 is an apocalyptic number.

4118688 is a gapful number since it is divisible by the number (48) 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 4118688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6952176).

4118688 is an abundant number, since it is smaller than the sum of its proper divisors (9785664).

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

4118688 is a wasteful number, since it uses less digits than its factorization.

4118688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 239 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 4118688 is about 2029.4550992816. The cubic root of 4118688 is about 160.2948728952.

The spelling of 4118688 in words is "four million, one hundred eighteen thousand, six hundred eighty-eight".