8282736 has 200 divisors, whose sum is σ = 30248064. Its totient is φ = 2125440.

The previous prime is 8282731. The next prime is 8282753. The reversal of 8282736 is 6372828.

It is a happy number.

8282736 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 self number, because there is not a number n which added to its sum of digits gives 8282736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8282731) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 99751 + ... + 99833.

Almost surely, 2^8282736 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 8282736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15124032).

8282736 is an abundant number, since it is smaller than the sum of its proper divisors (21965328).

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

8282736 is a wasteful number, since it uses less digits than its factorization.

8282736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 106 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 8282736 is about 2877.9742875849. The cubic root of 8282736 is about 202.3289089849.

The spelling of 8282736 in words is "eight million, two hundred eighty-two thousand, seven hundred thirty-six".