4165616 has 40 divisors (see below), whose sum is σ = 9936864. Its totient is φ = 1647360.

The previous prime is 4165613. The next prime is 4165619. The reversal of 4165616 is 6165614.

It is an interprime number because it is at equal distance from previous prime (4165613) and next prime (4165619).

It is an alternating number because its digits alternate between even and odd.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4165613) 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, 26 + ... + 2886.

Almost surely, 2^4165616 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 4165616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4968432).

4165616 is an abundant number, since it is smaller than the sum of its proper divisors (5771248).

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

4165616 is a wasteful number, since it uses less digits than its factorization.

4165616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2889 (or 2883 counting only the distinct ones).

The product of its digits is 4320, while the sum is 29.

The square root of 4165616 is about 2040.9840763710. The cubic root of 4165616 is about 160.9013708637.

The spelling of 4165616 in words is "four million, one hundred sixty-five thousand, six hundred sixteen".