8966016 has 96 divisors (see below), whose sum is σ = 26546520. Its totient is φ = 2903040.

The previous prime is 8966011. The next prime is 8966057. The reversal of 8966016 is 6106698.

It is a tau number, because it is divible by the number of its divisors (96).

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 (8966011) 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, 49446 + ... + 49626.

Almost surely, 2^8966016 is an apocalyptic number.

8966016 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8966016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13273260).

8966016 is an abundant number, since it is smaller than the sum of its proper divisors (17580504).

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

8966016 is a wasteful number, since it uses less digits than its factorization.

8966016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 229 counting only the distinct ones).

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

The square root of 8966016 is about 2994.3306430653. The cubic root of 8966016 is about 207.7462388594.

It can be divided in two parts, 89660 and 16, that added together give a triangular number (89676 = T₄₂₃).

The spelling of 8966016 in words is "eight million, nine hundred sixty-six thousand, sixteen".