9525984 has 96 divisors (see below), whose sum is σ = 28576800. Its totient is φ = 2752512.

The previous prime is 9525977. The next prime is 9525991. The reversal of 9525984 is 4895259.

It is an interprime number because it is at equal distance from previous prime (9525977) and next prime (9525991).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20992 + ... + 21440.

It is an arithmetic number, because the mean of its divisors is an integer number (297675).

Almost surely, 2^9525984 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 9525984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14288400).

9525984 is an abundant number, since it is smaller than the sum of its proper divisors (19050816).

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

9525984 is a wasteful number, since it uses less digits than its factorization.

9525984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 484 counting only the distinct ones).

The product of its digits is 129600, while the sum is 42.

The square root of 9525984 is about 3086.4192845432. The cubic root of 9525984 is about 211.9840975374.

Multiplying 9525984 by its sum of digits (42), we get a triangular number (400091328 = T₂₈₂₈₇).

The spelling of 9525984 in words is "nine million, five hundred twenty-five thousand, nine hundred eighty-four".