9282816 has 144 divisors (see below), whose sum is σ = 29433600. Its totient is φ = 2875392.

The previous prime is 9282787. The next prime is 9282817. The reversal of 9282816 is 6182829.

It is a tau number, because it is divible by the number of its divisors (144).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (9282817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117465 + ... + 117543.

It is an arithmetic number, because the mean of its divisors is an integer number (204400).

Almost surely, 2^9282816 is an apocalyptic number.

9282816 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9282816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14716800).

9282816 is an abundant number, since it is smaller than the sum of its proper divisors (20150784).

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

9282816 is a wasteful number, since it uses less digits than its factorization.

9282816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 101 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 9282816 is about 3046.7714059312. The cubic root of 9282816 is about 210.1647686458.

The spelling of 9282816 in words is "nine million, two hundred eighty-two thousand, eight hundred sixteen".