8342784 has 144 divisors (see below), whose sum is σ = 26490240. Its totient is φ = 2580480.

The previous prime is 8342779. The next prime is 8342791. The reversal of 8342784 is 4872438.

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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117469 + ... + 117539.

It is an arithmetic number, because the mean of its divisors is an integer number (183960).

Almost surely, 2^8342784 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 8342784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13245120).

8342784 is an abundant number, since it is smaller than the sum of its proper divisors (18147456).

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

8342784 is a wasteful number, since it uses less digits than its factorization.

8342784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 93 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 8342784 is about 2888.3877855994. The cubic root of 8342784 is about 202.8166787165.

The spelling of 8342784 in words is "eight million, three hundred forty-two thousand, seven hundred eighty-four".