4181616 has 60 divisors (see below), whose sum is σ = 11896560. Its totient is φ = 1370880.

The previous prime is 4181603. The next prime is 4181633. The reversal of 4181616 is 6161814.

4181616 is a `hidden beast` number, since 41 + 8 + 1 + 616 = 666.

It is a nude number because it is divisible by every one of its digits.

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 4181616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10020 + ... + 10428.

It is an arithmetic number, because the mean of its divisors is an integer number (198276).

Almost surely, 2^4181616 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 4181616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5948280).

4181616 is an abundant number, since it is smaller than the sum of its proper divisors (7714944).

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

4181616 is a wasteful number, since it uses less digits than its factorization.

4181616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 485 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 4181616 is about 2044.8999975549. The cubic root of 4181616 is about 161.1071133724.

The spelling of 4181616 in words is "four million, one hundred eighty-one thousand, six hundred sixteen".