9885792 has 96 divisors (see below), whose sum is σ = 30385152. Its totient is φ = 2755584.

The previous prime is 9885773. The next prime is 9885803. The reversal of 9885792 is 2975889.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 31428 + ... + 31740.

It is an arithmetic number, because the mean of its divisors is an integer number (316512).

Almost surely, 2^9885792 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 9885792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15192576).

9885792 is an abundant number, since it is smaller than the sum of its proper divisors (20499360).

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

9885792 is a wasteful number, since it uses less digits than its factorization.

9885792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 372 counting only the distinct ones).

The product of its digits is 362880, while the sum is 48.

The square root of 9885792 is about 3144.1679344463. The cubic root of 9885792 is about 214.6201477499.

Subtracting from 9885792 its reverse (2975889), we obtain a triangular number (6909903 = T₃₇₁₇).

The spelling of 9885792 in words is "nine million, eight hundred eighty-five thousand, seven hundred ninety-two".