8142784 has 28 divisors (see below), whose sum is σ = 17403064. Its totient is φ = 3757824.

The previous prime is 8142769. The next prime is 8142787. The reversal of 8142784 is 4872418.

8142784 = 186² + 187² + ... + 313².

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8142787) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 4062 + ... + 5725.

It is an arithmetic number, because the mean of its divisors is an integer number (621538).

Almost surely, 2^8142784 is an apocalyptic number.

It is an amenable number.

8142784 is an abundant number, since it is smaller than the sum of its proper divisors (9260280).

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

8142784 is a wasteful number, since it uses less digits than its factorization.

8142784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9812 (or 9802 counting only the distinct ones).

The product of its digits is 14336, while the sum is 34.

The square root of 8142784 is about 2853.5563775752. The cubic root of 8142784 is about 201.1828571202.

The spelling of 8142784 in words is "eight million, one hundred forty-two thousand, seven hundred eighty-four".