4682616 has 64 divisors (see below), whose sum is σ = 12960000. Its totient is φ = 1402368.

The previous prime is 4682597. The next prime is 4682647. The reversal of 4682616 is 6162864.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9135 + ... + 9633.

It is an arithmetic number, because the mean of its divisors is an integer number (202500).

Almost surely, 2^4682616 is an apocalyptic number.

4682616 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 4682616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6480000).

4682616 is an abundant number, since it is smaller than the sum of its proper divisors (8277384).

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

4682616 is a wasteful number, since it uses less digits than its factorization.

4682616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 544 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 4682616 is about 2163.9353040237. The cubic root of 4682616 is about 167.3000926902.

The spelling of 4682616 in words is "four million, six hundred eighty-two thousand, six hundred sixteen".