8961616 has 40 divisors (see below), whose sum is σ = 18748800. Its totient is φ = 4135680.

The previous prime is 8961583. The next prime is 8961619. The reversal of 8961616 is 6161698.

It is a super-2 number, since 2×8961616² = 160621122662912, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

8961616 is a modest number, since divided by 1616 gives 896 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8961619) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12105 + ... + 12823.

It is an arithmetic number, because the mean of its divisors is an integer number (468720).

Almost surely, 2^8961616 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 8961616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9374400).

8961616 is an abundant number, since it is smaller than the sum of its proper divisors (9787184).

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

8961616 is a wasteful number, since it uses less digits than its factorization.

8961616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 781 counting only the distinct ones).

The product of its digits is 15552, while the sum is 37.

The square root of 8961616 is about 2993.5958311035. The cubic root of 8961616 is about 207.7122500354.

The spelling of 8961616 in words is "eight million, nine hundred sixty-one thousand, six hundred sixteen".