4163616 has 96 divisors (see below), whose sum is σ = 12499200. Its totient is φ = 1347840.

The previous prime is 4163611. The next prime is 4163629. The reversal of 4163616 is 6163614.

4163616 is a `hidden beast` number, since 41 + 6 + 3 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×4163616³ (a number of 21 digits) contains 333 as substring.

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

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

It is an Ulam number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4163616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4163611) 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, 52665 + ... + 52743.

It is an arithmetic number, because the mean of its divisors is an integer number (130200).

Almost surely, 2^4163616 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 4163616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6249600).

4163616 is an abundant number, since it is smaller than the sum of its proper divisors (8335584).

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

4163616 is a wasteful number, since it uses less digits than its factorization.

4163616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 145 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 4163616 is about 2040.4940578203. The cubic root of 4163616 is about 160.8756160289.

The spelling of 4163616 in words is "four million, one hundred sixty-three thousand, six hundred sixteen".