4082616 has 64 divisors (see below), whose sum is σ = 11642400. Its totient is φ = 1324800.

The previous prime is 4082609. The next prime is 4082629. The reversal of 4082616 is 6162804.

4082616 is a `hidden beast` number, since 40 + 8 + 2 + 616 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4082616.

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, 8626 + ... + 9086.

Almost surely, 2^4082616 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 4082616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5821200).

4082616 is an abundant number, since it is smaller than the sum of its proper divisors (7559784).

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

4082616 is a wasteful number, since it uses less digits than its factorization.

4082616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4082616 is about 2020.5484403993. The cubic root of 4082616 is about 159.8255390068.

The spelling of 4082616 in words is "four million, eighty-two thousand, six hundred sixteen".