9966888 has 56 divisors (see below), whose sum is σ = 28035450. Its totient is φ = 3320352.

The previous prime is 9966883. The next prime is 9966937. The reversal of 9966888 is 8886699.

It can be written as a sum of positive squares in only one way, i.e., 9474084 + 492804 = 3078^2 + 702^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (9966883) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 4978 + ... + 6686.

Almost surely, 2^9966888 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 9966888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14017725).

9966888 is an abundant number, since it is smaller than the sum of its proper divisors (18068562).

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

9966888 is a wasteful number, since it uses less digits than its factorization.

9966888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1733 (or 1714 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The square root of 9966888 is about 3157.0378521646. The cubic root of 9966888 is about 215.2054139220.

The spelling of 9966888 in words is "nine million, nine hundred sixty-six thousand, eight hundred eighty-eight".