9966516 has 48 divisors (see below), whose sum is σ = 27041280. Its totient is φ = 2797920.

The previous prime is 9966511. The next prime is 9966529. The reversal of 9966516 is 6156699.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9966511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3951 + ... + 5961.

It is an arithmetic number, because the mean of its divisors is an integer number (563360).

Almost surely, 2^9966516 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 9966516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13520640).

9966516 is an abundant number, since it is smaller than the sum of its proper divisors (17074764).

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

9966516 is a wasteful number, since it uses less digits than its factorization.

9966516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084 (or 2082 counting only the distinct ones).

The product of its digits is 87480, while the sum is 42.

The square root of 9966516 is about 3156.9789356282. The cubic root of 9966516 is about 215.2027364761.

It can be divided in two parts, 99665 and 16, that added together give a triangular number (99681 = T₄₄₆).

The spelling of 9966516 in words is "nine million, nine hundred sixty-six thousand, five hundred sixteen".