9967744 has 32 divisors (see below), whose sum is σ = 20330640. Its totient is φ = 4865280.

The previous prime is 9967721. The next prime is 9967759. The reversal of 9967744 is 4477699.

It is a tau number, because it is divible by the number of its divisors (32).

It is a d-powerful number, because it can be written as 9² + 9³ + 6⁵ + 7² + 7⁸ + 4 + 4¹¹ .

It is a junction number, because it is equal to n+sod(n) for n = 9967694 and 9967703.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4599 + ... + 6409.

Almost surely, 2^9967744 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 9967744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10165320).

9967744 is an abundant number, since it is smaller than the sum of its proper divisors (10362896).

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

9967744 is a wasteful number, since it uses less digits than its factorization.

9967744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1868 (or 1856 counting only the distinct ones).

The product of its digits is 381024, while the sum is 46.

The square root of 9967744 is about 3157.1734193737. The cubic root of 9967744 is about 215.2115746735.

The spelling of 9967744 in words is "nine million, nine hundred sixty-seven thousand, seven hundred forty-four".