616441806 has 64 divisors (see below), whose sum is σ = 1451822400. Its totient is φ = 193536000.

The previous prime is 616441769. The next prime is 616441829. The reversal of 616441806 is 608144616.

616441806 is a `hidden beast` number, since 6 + 1 + 644 + 1 + 8 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59406 + ... + 69006.

It is an arithmetic number, because the mean of its divisors is an integer number (22684725).

Almost surely, 2^616441806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 616441806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725911200).

616441806 is an abundant number, since it is smaller than the sum of its proper divisors (835380594).

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

616441806 is a wasteful number, since it uses less digits than its factorization.

616441806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9682 (or 9676 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 616441806 is about 24828.2461321778. The cubic root of 616441806 is about 851.0675426449.

The spelling of 616441806 in words is "six hundred sixteen million, four hundred forty-one thousand, eight hundred six".