8645616 has 100 divisors (see below), whose sum is σ = 28627632. Its totient is φ = 2467584.

The previous prime is 8645597. The next prime is 8645617. The reversal of 8645616 is 6165468.

8645616 is a `hidden beast` number, since 8 + 645 + 6 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8645617) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 8596 + ... + 9548.

Almost surely, 2^8645616 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 8645616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14313816).

8645616 is an abundant number, since it is smaller than the sum of its proper divisors (19982016).

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

8645616 is a wasteful number, since it uses less digits than its factorization.

8645616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 965 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 8645616 is about 2940.3428371535. The cubic root of 8645616 is about 205.2415633464.

It can be divided in two parts, 8645 and 616, that added together give a cube (9261 = 21³).

The spelling of 8645616 in words is "eight million, six hundred forty-five thousand, six hundred sixteen".