8663616 has 126 divisors (see below), whose sum is σ = 27191970. Its totient is φ = 2635776.

The previous prime is 8663609. The next prime is 8663621. The reversal of 8663616 is 6163668.

8663616 is a `hidden beast` number, since 8 + 6 + 636 + 16 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 230400 + 8433216 = 480^2 + 2904^2 .

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 97300 + ... + 97388.

Almost surely, 2^8663616 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 8663616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13595985).

8663616 is an abundant number, since it is smaller than the sum of its proper divisors (18528354).

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

8663616 is a wasteful number, since it uses less digits than its factorization.

8663616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 107 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 8663616 is about 2943.4021132017. The cubic root of 8663616 is about 205.3839008906.

The spelling of 8663616 in words is "eight million, six hundred sixty-three thousand, six hundred sixteen".