9867792 has 60 divisors (see below), whose sum is σ = 28036400. Its totient is φ = 2988480.

The previous prime is 9867779. The next prime is 9867797. The reversal of 9867792 is 2977689.

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

It is not an unprimeable number, because it can be changed into a prime (9867797) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4959 + ... + 6657.

Almost surely, 2^9867792 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 9867792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14018200).

9867792 is an abundant number, since it is smaller than the sum of its proper divisors (18168608).

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

9867792 is a wasteful number, since it uses less digits than its factorization.

9867792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732 (or 1715 counting only the distinct ones).

The product of its digits is 381024, while the sum is 48.

The square root of 9867792 is about 3141.3041877539. The cubic root of 9867792 is about 214.4898088518.

It can be divided in two parts, 986 and 7792, that added together give a palindrome (8778).

The spelling of 9867792 in words is "nine million, eight hundred sixty-seven thousand, seven hundred ninety-two".