9946368 has 72 divisors (see below), whose sum is σ = 29433600. Its totient is φ = 3313152.

The previous prime is 9946357. The next prime is 9946393. The reversal of 9946368 is 8636499.

9946368 is a `hidden beast` number, since 9 + 9 + 4 + 636 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6193 + ... + 7631.

It is an arithmetic number, because the mean of its divisors is an integer number (408800).

Almost surely, 2^9946368 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 9946368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14716800).

9946368 is an abundant number, since it is smaller than the sum of its proper divisors (19487232).

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

9946368 is a wasteful number, since it uses less digits than its factorization.

9946368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 1444 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 9946368 is about 3153.7862958672. The cubic root of 9946368 is about 215.0576229180.

The spelling of 9946368 in words is "nine million, nine hundred forty-six thousand, three hundred sixty-eight".