4116096 has 80 divisors (see below), whose sum is σ = 12280290. Its totient is φ = 1368576.

The previous prime is 4116071. The next prime is 4116107. The reversal of 4116096 is 6906114.

4116096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3240000 + 876096 = 1800^2 + 936^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a nialpdrome in base 9.

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 9 ways as a sum of consecutive naturals, for example, 10170 + ... + 10566.

Almost surely, 2^4116096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4116096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6140145).

4116096 is an abundant number, since it is smaller than the sum of its proper divisors (8164194).

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

4116096 is an equidigital number, since it uses as much as digits as its factorization.

4116096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 4116096 is about 2028.8164037192. The cubic root of 4116096 is about 160.2612398953.

The spelling of 4116096 in words is "four million, one hundred sixteen thousand, ninety-six".