4613616 has 120 divisors (see below), whose sum is σ = 15475200. Its totient is φ = 1254528.

The previous prime is 4613603. The next prime is 4613617. The reversal of 4613616 is 6163164.

4613616 is a `hidden beast` number, since 46 + 1 + 3 + 616 = 666.

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 4613616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4613617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23085 + ... + 23283.

It is an arithmetic number, because the mean of its divisors is an integer number (128960).

Almost surely, 2^4613616 is an apocalyptic number.

4613616 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4613616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7737600).

4613616 is an abundant number, since it is smaller than the sum of its proper divisors (10861584).

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

4613616 is a wasteful number, since it uses less digits than its factorization.

4613616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 234 counting only the distinct ones).

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

The square root of 4613616 is about 2147.9329598477. The cubic root of 4613616 is about 166.4742811234.

The spelling of 4613616 in words is "four million, six hundred thirteen thousand, six hundred sixteen".