9561984 has 64 divisors (see below), whose sum is σ = 26124240. Its totient is φ = 3096576.

The previous prime is 9561983. The next prime is 9561989. The reversal of 9561984 is 4891659.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9561983) 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, 13872 + ... + 14544.

Almost surely, 2^9561984 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 9561984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13062120).

9561984 is an abundant number, since it is smaller than the sum of its proper divisors (16562256).

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

9561984 is a wasteful number, since it uses less digits than its factorization.

9561984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 715 counting only the distinct ones).

The product of its digits is 77760, while the sum is 42.

The square root of 9561984 is about 3092.2457858327. The cubic root of 9561984 is about 212.2508008421.

It can be divided in two parts, 95619 and 84, that added together give a triangular number (95703 = T₄₃₇).

The spelling of 9561984 in words is "nine million, five hundred sixty-one thousand, nine hundred eighty-four".