4118640 has 60 divisors (see below), whose sum is σ = 12865992. Its totient is φ = 1089920.

The previous prime is 4118627. The next prime is 4118693. The reversal of 4118640 is 468114.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4118640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31375 + ... + 31505.

Almost surely, 2^4118640 is an apocalyptic number.

4118640 is a gapful number since it is divisible by the number (40) 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 4118640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6432996).

4118640 is an abundant number, since it is smaller than the sum of its proper divisors (8747352).

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

4118640 is a wasteful number, since it uses less digits than its factorization.

4118640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 4118640 is about 2029.4432734127. The cubic root of 4118640 is about 160.2942501901.

It can be divided in two parts, 41 and 18640, that added together give a palindrome (18681).

The spelling of 4118640 in words is "four million, one hundred eighteen thousand, six hundred forty".