9946880 has 72 divisors (see below), whose sum is σ = 25141200. Its totient is φ = 3760128.

The previous prime is 9946873. The next prime is 9946883. The reversal of 9946880 is 886499.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9946883) 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, 24116 + ... + 24524.

Almost surely, 2^9946880 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 9946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12570600).

9946880 is an abundant number, since it is smaller than the sum of its proper divisors (15194320).

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

9946880 is a wasteful number, since it uses less digits than its factorization.

9946880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 44.

The square root of 9946880 is about 3153.8674670950. The cubic root of 9946880 is about 215.0613129622.

The spelling of 9946880 in words is "nine million, nine hundred forty-six thousand, eight hundred eighty".