9961344 has 48 divisors (see below), whose sum is σ = 28668120. Its totient is φ = 3320064.

The previous prime is 9961333. The next prime is 9961351. The reversal of 9961344 is 4431699.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 9961299 and 9961308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3172 + ... + 5475.

Almost surely, 2^9961344 is an apocalyptic number.

It is an amenable number.

9961344 is an abundant number, since it is smaller than the sum of its proper divisors (18706776).

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

9961344 is a wasteful number, since it uses less digits than its factorization.

9961344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8667 (or 8652 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 9961344 is about 3156.1596917773. The cubic root of 9961344 is about 215.1655044371.

The spelling of 9961344 in words is "nine million, nine hundred sixty-one thousand, three hundred forty-four".