4116616 has 64 divisors (see below), whose sum is σ = 9590400. Its totient is φ = 1617408.

The previous prime is 4116587. The next prime is 4116617. The reversal of 4116616 is 6166114.

It is a super-3 number, since 3×4116616³ (a number of 21 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4116617) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56356 + ... + 56428.

It is an arithmetic number, because the mean of its divisors is an integer number (149850).

Almost surely, 2^4116616 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 4116616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4795200).

4116616 is an abundant number, since it is smaller than the sum of its proper divisors (5473784).

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

4116616 is a wasteful number, since it uses less digits than its factorization.

4116616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 154 counting only the distinct ones).

The product of its digits is 864, while the sum is 25.

The square root of 4116616 is about 2028.9445532099. The cubic root of 4116616 is about 160.2679883883.

The spelling of 4116616 in words is "four million, one hundred sixteen thousand, six hundred sixteen".