4116840 has 192 divisors, whose sum is σ = 15811200. Its totient is φ = 838656.

The previous prime is 4116823. The next prime is 4116857. The reversal of 4116840 is 486114.

It is a Cunningham number, because it is equal to 2029²-1.

It is an interprime number because it is at equal distance from previous prime (4116823) and next prime (4116857).

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 4116840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141946 + ... + 141974.

It is an arithmetic number, because the mean of its divisors is an integer number (82350).

Almost surely, 2^4116840 is an apocalyptic number.

4116840 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 4116840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7905600).

4116840 is an abundant number, since it is smaller than the sum of its proper divisors (11694360).

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

4116840 is a wasteful number, since it uses less digits than its factorization.

4116840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 59 counting only the distinct ones).

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

The square root of 4116840 is about 2028.9997535732. Note that the first 3 decimals coincide. The cubic root of 4116840 is about 160.2708952563.

The spelling of 4116840 in words is "four million, one hundred sixteen thousand, eight hundred forty".