4636116 has 60 divisors (see below), whose sum is σ = 12450900. Its totient is φ = 1503360.

The previous prime is 4636111. The next prime is 4636123. The reversal of 4636116 is 6116364.

4636116 is a `hidden beast` number, since 46 + 3 + 611 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1587600 + 3048516 = 1260^2 + 1746^2 .

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 a self number, because there is not a number n which added to its sum of digits gives 4636116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4636111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13110 + ... + 13458.

It is an arithmetic number, because the mean of its divisors is an integer number (207515).

Almost surely, 2^4636116 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 4636116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6225450).

4636116 is an abundant number, since it is smaller than the sum of its proper divisors (7814784).

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

4636116 is a wasteful number, since it uses less digits than its factorization.

4636116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 395 counting only the distinct ones).

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

The square root of 4636116 is about 2153.1641832429. The cubic root of 4636116 is about 166.7444667883.

The spelling of 4636116 in words is "four million, six hundred thirty-six thousand, one hundred sixteen".