8219736 has 96 divisors (see below), whose sum is σ = 26058240. Its totient is φ = 2291904.

The previous prime is 8219719. The next prime is 8219747. The reversal of 8219736 is 6379128.

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 one of the 548 Lynch-Bell numbers.

It is a self number, because there is not a number n which added to its sum of digits gives 8219736.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23515 + ... + 23861.

It is an arithmetic number, because the mean of its divisors is an integer number (271440).

Almost surely, 2^8219736 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 8219736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13029120).

8219736 is an abundant number, since it is smaller than the sum of its proper divisors (17838504).

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

8219736 is a wasteful number, since it uses less digits than its factorization.

8219736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 406 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 8219736 is about 2867.0081967096. The cubic root of 8219736 is about 201.8146193231.

The spelling of 8219736 in words is "eight million, two hundred nineteen thousand, seven hundred thirty-six".