9967904 has 24 divisors (see below), whose sum is σ = 19877760. Its totient is φ = 4919616.

The previous prime is 9967891. The next prime is 9967987. The reversal of 9967904 is 4097699.

It is a super-2 number, since 2×9967904² = 198718220306432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 557 + ... + 4499.

It is an arithmetic number, because the mean of its divisors is an integer number (828240).

Almost surely, 2^9967904 is an apocalyptic number.

It is an amenable number.

9967904 is a deficient number, since it is larger than the sum of its proper divisors (9909856).

9967904 is a wasteful number, since it uses less digits than its factorization.

9967904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4032 (or 4024 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 44.

The square root of 9967904 is about 3157.1987583933. The cubic root of 9967904 is about 215.2127261767.

The spelling of 9967904 in words is "nine million, nine hundred sixty-seven thousand, nine hundred four".