8906616 has 48 divisors (see below), whose sum is σ = 24376560. Its totient is φ = 2937600.

The previous prime is 8906593. The next prime is 8906617. The reversal of 8906616 is 6166098.

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

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8906617) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6816 + ... + 8016.

It is an arithmetic number, because the mean of its divisors is an integer number (507845).

Almost surely, 2^8906616 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 8906616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12188280).

8906616 is an abundant number, since it is smaller than the sum of its proper divisors (15469944).

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

8906616 is a wasteful number, since it uses less digits than its factorization.

8906616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 8906616 is about 2984.3954161605. The cubic root of 8906616 is about 207.2864479291.

The spelling of 8906616 in words is "eight million, nine hundred six thousand, six hundred sixteen".