4406616 has 64 divisors (see below), whose sum is σ = 12787200. Its totient is φ = 1403424.

The previous prime is 4406599. The next prime is 4406627. The reversal of 4406616 is 6166044.

4406616 is a `hidden beast` number, since 4 + 40 + 6 + 616 = 666.

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 4406616.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4525 + ... + 5411.

It is an arithmetic number, because the mean of its divisors is an integer number (199800).

Almost surely, 2^4406616 is an apocalyptic number.

4406616 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 4406616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6393600).

4406616 is an abundant number, since it is smaller than the sum of its proper divisors (8380584).

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

4406616 is a wasteful number, since it uses less digits than its factorization.

4406616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4406616 is about 2099.1941310894. The cubic root of 4406616 is about 163.9463437400.

It can be divided in two parts, 440 and 6616, that added together give a square (7056 = 84²).

The spelling of 4406616 in words is "four million, four hundred six thousand, six hundred sixteen".