4116000 has 192 divisors, whose sum is σ = 15724800. Its totient is φ = 940800.

The previous prime is 4115987. The next prime is 4116019. The reversal of 4116000 is 6114.

4116000 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 (12).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 587997 + ... + 588003.

It is an arithmetic number, because the mean of its divisors is an integer number (81900).

Almost surely, 2^4116000 is an apocalyptic number.

4116000 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 4116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7862400).

4116000 is an abundant number, since it is smaller than the sum of its proper divisors (11608800).

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

4116000 is an equidigital number, since it uses as much as digits as its factorization.

4116000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 4116000 is about 2028.7927444665. The cubic root of 4116000 is about 160.2599939575.

4116000 divided by its sum of digits (12) gives a cube (343000 = 70³).

The spelling of 4116000 in words is "four million, one hundred sixteen thousand".