4116640 has 48 divisors (see below), whose sum is σ = 10614240. Its totient is φ = 1496320.

The previous prime is 4116617. The next prime is 4116641. The reversal of 4116640 is 466114.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (4116641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 591 + ... + 2929.

It is an arithmetic number, because the mean of its divisors is an integer number (221130).

Almost surely, 2^4116640 is an apocalyptic number.

4116640 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 4116640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5307120).

4116640 is an abundant number, since it is smaller than the sum of its proper divisors (6497600).

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

4116640 is a wasteful number, since it uses less digits than its factorization.

4116640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2365 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 4116640 is about 2028.9504676063. The cubic root of 4116640 is about 160.2682998435.

The spelling of 4116640 in words is "four million, one hundred sixteen thousand, six hundred forty".