8664084 has 180 divisors, whose sum is σ = 28388052. Its totient is φ = 2280960.

The previous prime is 8664053. The next prime is 8664107. The reversal of 8664084 is 4804668.

8664084 is a `hidden beast` number, since 8 + 6 + 640 + 8 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3920400 + 4743684 = 1980^2 + 2178^2 .

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 (7) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 509644 + ... + 509660.

Almost surely, 2^8664084 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 8664084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14194026).

8664084 is an abundant number, since it is smaller than the sum of its proper divisors (19723968).

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

8664084 is a wasteful number, since it uses less digits than its factorization.

8664084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 8664084 is about 2943.4816119691. The cubic root of 8664084 is about 205.3875990360.

It can be divided in two parts, 866 and 4084, that added together give a triangular number (4950 = T₉₉).

The spelling of 8664084 in words is "eight million, six hundred sixty-four thousand, eighty-four".