8961696 has 108 divisors (see below), whose sum is σ = 27107262. Its totient is φ = 2806272.

The previous prime is 8961679. The next prime is 8961707. The reversal of 8961696 is 6961698.

It can be written as a sum of positive squares in 3 ways, for example, as 8785296 + 176400 = 2964^2 + 420^2 .

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

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

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, 242190 + ... + 242226.

Almost surely, 2^8961696 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 8961696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13553631).

8961696 is an abundant number, since it is smaller than the sum of its proper divisors (18145566).

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

8961696 is a wasteful number, since it uses less digits than its factorization.

8961696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 71 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 8961696 is about 2993.6091929308. The cubic root of 8961696 is about 207.7128681133.

The spelling of 8961696 in words is "eight million, nine hundred sixty-one thousand, six hundred ninety-six".